Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630bk |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
56770560 |
Modular degree for the optimal curve |
Δ |
4.507534479045E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3160835774,-67632424786384] |
[a1,a2,a3,a4,a6] |
j |
86546029380148836129592927/1117009064157511680000 |
j-invariant |
L |
2.4180730331001 |
L(r)(E,1)/r! |
Ω |
0.020150608609987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890fq1 42630v1 |
Quadratic twists by: -3 -7 |