Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680bc |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23482368 |
Modular degree for the optimal curve |
Δ |
9.2439007485477E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88569858,285543252943] |
[a1,a2,a3,a4,a6] |
Generators |
[-1824312447818:-3597532146325125:6455635928] |
Generators of the group modulo torsion |
j |
621217777580032/74733890625 |
j-invariant |
L |
4.7598998640986 |
L(r)(E,1)/r! |
Ω |
0.070480476002921 |
Real period |
R |
16.883753288959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840s1 40560be1 121680bz1 |
Quadratic twists by: -4 -3 13 |