Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650by |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
411129600 |
Modular degree for the optimal curve |
Δ |
-1.5098309390434E+32 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4933489617,606043479032541] |
[a1,a2,a3,a4,a6] |
Generators |
[941506454600225406489926145:319328495747052037528249626051:8537627006728479913625] |
Generators of the group modulo torsion |
j |
-46633585130718147687868465/530201262544725160230912 |
j-invariant |
L |
2.6545479997619 |
L(r)(E,1)/r! |
Ω |
0.015548287944278 |
Real period |
R |
42.682319900351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550co1 97650dv1 |
Quadratic twists by: -3 5 |