Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cf |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
1.3340594263674E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76905652,-259588989502] |
[a1,a2,a3,a4,a6] |
Generators |
[-635095:457939:125] |
Generators of the group modulo torsion |
j |
42531320912955257257/1127938881456 |
j-invariant |
L |
8.2111254476009 |
L(r)(E,1)/r! |
Ω |
0.050981273731654 |
Real period |
R |
2.6843599757032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966f1 4998j1 |
Quadratic twists by: -7 17 |