Atkin-Lehner |
3+ 5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
115575a |
Isogeny class |
Conductor |
115575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
250708829484375 = 39 · 56 · 233 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -1 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28500,-1699875] |
[a1,a2,a3,a4,a6] |
Generators |
[-96610:452617:1000] |
Generators of the group modulo torsion |
j |
163855897047361/16045365087 |
j-invariant |
L |
6.9286145988551 |
L(r)(E,1)/r! |
Ω |
0.36975391203959 |
Real period |
R |
9.3692240948689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4623c1 |
Quadratic twists by: 5 |