Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550hs |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-269792686800000000 = -1 · 210 · 32 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117013,-29406469] |
[a1,a2,a3,a4,a6] |
j |
-78683185/119808 |
j-invariant |
L |
2.4492140431922 |
L(r)(E,1)/r! |
Ω |
0.12246070754095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550dd1 95550ky1 |
Quadratic twists by: 5 -7 |