Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bj |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1058750000 = -1 · 24 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,-1125] |
[a1,a2,a3,a4,a6] |
Generators |
[4145:25608:125] |
Generators of the group modulo torsion |
j |
3538944/4235 |
j-invariant |
L |
4.7951154781089 |
L(r)(E,1)/r! |
Ω |
0.83438805528561 |
Real period |
R |
5.7468649601742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7700g1 123200dz1 6160q1 |
Quadratic twists by: -4 8 5 |