Atkin-Lehner |
2+ 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088l |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
180 |
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] |
Generators |
[-3382:143127:8] |
Generators of the group modulo torsion |
j |
-396080819484364288/921879117462106971 |
j-invariant |
L |
12.375853356845 |
L(r)(E,1)/r! |
Ω |
0.15894072792836 |
Real period |
R |
0.43258101029694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113088c1 56544a1 |
Quadratic twists by: -4 8 |