Atkin-Lehner |
3+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
37323b |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
30772776177 = 39 · 11 · 132 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 0 4 11- 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-785,784] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:28:1] |
Generators of the group modulo torsion |
j |
2714704875/1563419 |
j-invariant |
L |
4.0285081966675 |
L(r)(E,1)/r! |
Ω |
1.0002614630742 |
Real period |
R |
2.01372758293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37323a1 |
Quadratic twists by: -3 |