Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150by |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-639532885264000000 = -1 · 210 · 56 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,122437,34814281] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:5238:1] |
Generators of the group modulo torsion |
j |
15925559/50176 |
j-invariant |
L |
14.701115549788 |
L(r)(E,1)/r! |
Ω |
0.20354548634594 |
Real period |
R |
3.6112605132289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366b1 59150c1 |
Quadratic twists by: 5 13 |