Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840i |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-34311682736640 = -1 · 29 · 310 · 5 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35283,2566438] |
[a1,a2,a3,a4,a6] |
j |
-13014357632648/91927305 |
j-invariant |
L |
2.6302800065413 |
L(r)(E,1)/r! |
Ω |
0.65757001061529 |
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 |
87840bf1 29280z1 |
Quadratic twists by: -4 -3 |