Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bv |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
5.3103220031383E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4415440,3555378112] |
[a1,a2,a3,a4,a6] |
Generators |
[-934:510327:8] |
Generators of the group modulo torsion |
j |
2324265979655584334161/12964653327974400 |
j-invariant |
L |
6.7543093030466 |
L(r)(E,1)/r! |
Ω |
0.20051135883977 |
Real period |
R |
8.4213548920547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bm1 |
Quadratic twists by: -4 |