Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550t |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
639352460906250000 = 24 · 3 · 59 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-215625,2203125] |
[a1,a2,a3,a4,a6] |
j |
1758416743/1014000 |
j-invariant |
L |
1.9626494243272 |
L(r)(E,1)/r! |
Ω |
0.24533116576547 |
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 |
19110df1 95550ep1 |
Quadratic twists by: 5 -7 |