Atkin-Lehner |
3+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469d |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.7781950043388E+25 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5346968911,-150493428352490] |
[a1,a2,a3,a4,a6] |
Generators |
[331526090976539543675080268340816199730124970148847420010866263711521826438881636380730970507802447527853520058844537989342191744141083211436737008158153759572562:113306018350599516773777787918841379574534580947234373779948544841768322246849874064713393504257960070889587614425846380187821365578292804998157344121136236731683013:2108406073221583507394016511632167614720869427702443228411385936413256094055038053760004586533507811277929544574122480969681135466937221891829662436888317496] |
Generators of the group modulo torsion |
j |
-418952058903342799229525311/1679699909933400963 |
j-invariant |
L |
4.3020390150208 |
L(r)(E,1)/r! |
Ω |
0.0088275978411191 |
Real period |
R |
243.66985744309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77469x2 |
Quadratic twists by: -7 |