Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850eu |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
3502738391040000000 = 220 · 38 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1451480,667389147] |
[a1,a2,a3,a4,a6] |
j |
29689921233686449/307510640640 |
j-invariant |
L |
5.0249758350736 |
L(r)(E,1)/r! |
Ω |
0.25124879176989 |
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 |
19950a1 11970ba1 |
Quadratic twists by: -3 5 |