Atkin-Lehner |
2- 3+ 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294q |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
22070638638268416 = 232 · 36 · 7 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128902,-16369789] |
[a1,a2,a3,a4,a6] |
j |
236866089401652447073/22070638638268416 |
j-invariant |
L |
4.0554589968086 |
L(r)(E,1)/r! |
Ω |
0.25346618730193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882p1 |
Quadratic twists by: -3 |