Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590cc |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
5200947346500 = 22 · 312 · 53 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632318,-193373143] |
[a1,a2,a3,a4,a6] |
Generators |
[-4911209710560360:2484356107884341:10706185664000] |
Generators of the group modulo torsion |
j |
38353250292246281881/7134358500 |
j-invariant |
L |
7.4207211654116 |
L(r)(E,1)/r! |
Ω |
0.16930341837326 |
Real period |
R |
21.915449890616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530q1 |
Quadratic twists by: -3 |