Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650dc |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
2.9084942345253E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19189130,-19322216503] |
[a1,a2,a3,a4,a6] |
Generators |
[-1797:97621:1] |
Generators of the group modulo torsion |
j |
68602823713744140241/25534105762636800 |
j-invariant |
L |
9.8507262314002 |
L(r)(E,1)/r! |
Ω |
0.074402618277619 |
Real period |
R |
6.619878735572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550s1 19530o1 |
Quadratic twists by: -3 5 |