Atkin-Lehner |
2+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242g |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
7756172125184 = 210 · 7 · 196 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ -2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5061,-37555] |
[a1,a2,a3,a4,a6] |
Generators |
[-1420:16955:64] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
5.0144114866498 |
L(r)(E,1)/r! |
Ω |
0.60316975765118 |
Real period |
R |
4.1567165772634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322d1 |
Quadratic twists by: -19 |