Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
118354i |
Isogeny class |
Conductor |
118354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1162946404 = -1 · 22 · 174 · 592 |
Discriminant |
Eigenvalues |
2+ 0 3 -4 0 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,262,-248] |
[a1,a2,a3,a4,a6] |
Generators |
[42:268:1] |
Generators of the group modulo torsion |
j |
570152223/334084 |
j-invariant |
L |
5.4188779255724 |
L(r)(E,1)/r! |
Ω |
0.90749935937408 |
Real period |
R |
0.74640243500715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118354r1 |
Quadratic twists by: -59 |