Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017z |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
474520467179913 = 3 · 72 · 119 · 372 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-494711,-133966392] |
[a1,a2,a3,a4,a6] |
Generators |
[-6371400:3671472:15625] |
Generators of the group modulo torsion |
j |
7558269224026249/267854433 |
j-invariant |
L |
6.9616429622672 |
L(r)(E,1)/r! |
Ω |
0.18001661116693 |
Real period |
R |
9.6680563420951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547e1 |
Quadratic twists by: -11 |