Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59780l |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
82770437498000 = 24 · 53 · 72 · 615 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15290,-586475] |
[a1,a2,a3,a4,a6] |
j |
504264632483584/105574537625 |
j-invariant |
L |
1.3070296713333 |
L(r)(E,1)/r! |
Ω |
0.4356765592443 |
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 |
59780b1 |
Quadratic twists by: -7 |