Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650dg |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-5556941298996595200 = -1 · 29 · 321 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,434740,-26388273] |
[a1,a2,a3,a4,a6] |
j |
498592699047570335/304907615857152 |
j-invariant |
L |
5.0187300123266 |
L(r)(E,1)/r! |
Ω |
0.13940916700905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550e1 34650cj1 |
Quadratic twists by: -3 5 |