Atkin-Lehner |
3- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94017r |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
204998950102921821 = 317 · 7 · 112 · 374 |
Discriminant |
Eigenvalues |
2 3- 3 7+ 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-169814,-15897535] |
[a1,a2,a3,a4,a6] |
Generators |
[-181310:2993503:1000] |
Generators of the group modulo torsion |
j |
4475704189948997632/1694206199197701 |
j-invariant |
L |
20.338051424345 |
L(r)(E,1)/r! |
Ω |
0.24277411408956 |
Real period |
R |
2.4639281880494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94017x1 |
Quadratic twists by: -11 |