Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71390i |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
114974308900 = 22 · 52 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1233,3677] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:134:1] |
Generators of the group modulo torsion |
j |
116930169/64900 |
j-invariant |
L |
6.4779981197181 |
L(r)(E,1)/r! |
Ω |
0.91156446369139 |
Real period |
R |
3.5532309431719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490a1 |
Quadratic twists by: -11 |