Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550hl |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-380572867584000000 = -1 · 216 · 35 · 56 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23913,-29724969] |
[a1,a2,a3,a4,a6] |
j |
-822656953/207028224 |
j-invariant |
L |
4.3037380714022 |
L(r)(E,1)/r! |
Ω |
0.13449181407449 |
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 |
3822m1 1950v1 |
Quadratic twists by: 5 -7 |