Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10906l |
Isogeny class |
Conductor |
10906 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
80000 |
Modular degree for the optimal curve |
Δ |
22493998606231264 = 25 · 75 · 192 · 415 |
Discriminant |
Eigenvalues |
2- -1 1 7- 2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80205,4902883] |
[a1,a2,a3,a4,a6] |
j |
57059554959491530321/22493998606231264 |
j-invariant |
L |
3.4647235446748 |
L(r)(E,1)/r! |
Ω |
0.34647235446748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
87248n1 98154x1 76342s1 |
Quadratic twists by: -4 -3 -7 |