Atkin-Lehner |
2+ 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088c |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880000 |
Modular degree for the optimal curve |
Δ |
-5.9000263517575E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -1 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61199,-369585663] |
[a1,a2,a3,a4,a6] |
j |
-396080819484364288/921879117462106971 |
j-invariant |
L |
0.35822332529422 |
L(r)(E,1)/r! |
Ω |
0.089555816531 |
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 |
113088l1 56544h1 |
Quadratic twists by: -4 8 |