Atkin-Lehner |
2- 5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
118450l |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-664640994276903200 = -1 · 25 · 52 · 238 · 1032 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 1 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,195287,-20779209] |
[a1,a2,a3,a4,a6] |
Generators |
[2443275:56417796:15625] |
Generators of the group modulo torsion |
j |
32946066141254594375/26585639771076128 |
j-invariant |
L |
10.383304504067 |
L(r)(E,1)/r! |
Ω |
0.15939653476798 |
Real period |
R |
3.2570671965418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118450f1 |
Quadratic twists by: 5 |