Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472bi |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
33563081244672 = 216 · 311 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44355,-3584702] |
[a1,a2,a3,a4,a6] |
j |
3231945186625/11240208 |
j-invariant |
L |
1.3161782956397 |
L(r)(E,1)/r! |
Ω |
0.32904457393139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434a1 19824x1 |
Quadratic twists by: -4 -3 |