Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850eq |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1902006562500000 = -1 · 25 · 37 · 510 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30820,248447] |
[a1,a2,a3,a4,a6] |
j |
454786175/267168 |
j-invariant |
L |
5.6817840205171 |
L(r)(E,1)/r! |
Ω |
0.28408920663015 |
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 |
37950bb1 113850cv1 |
Quadratic twists by: -3 5 |