Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ed |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-289754965991808000 = -1 · 210 · 313 · 53 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75732,24624808] |
[a1,a2,a3,a4,a6] |
Generators |
[30389321:856631115:50653] |
Generators of the group modulo torsion |
j |
64347918907136/388153407375 |
j-invariant |
L |
5.7363134440073 |
L(r)(E,1)/r! |
Ω |
0.22283955670318 |
Real period |
R |
12.870949684313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960bh1 12240s1 16320da1 |
Quadratic twists by: -4 8 -3 |