Atkin-Lehner |
2+ 3- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570g |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
6076436872608000 = 28 · 314 · 53 · 29 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-926604,-343060272] |
[a1,a2,a3,a4,a6] |
j |
120692132090457778369/8335304352000 |
j-invariant |
L |
1.8465415083454 |
L(r)(E,1)/r! |
Ω |
0.15387844527856 |
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 |
32190t1 |
Quadratic twists by: -3 |