Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
107604z |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-459388044718848 = -1 · 28 · 36 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24696,1815156] |
[a1,a2,a3,a4,a6] |
Generators |
[-1470:3087:8] |
Generators of the group modulo torsion |
j |
-221184/61 |
j-invariant |
L |
6.0076922454214 |
L(r)(E,1)/r! |
Ω |
0.50029207013161 |
Real period |
R |
3.0020924736548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956g1 107604r1 |
Quadratic twists by: -3 -7 |