Atkin-Lehner |
2+ 5- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310l |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
593505859375000 = 23 · 515 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28223,1396378] |
[a1,a2,a3,a4,a6] |
Generators |
[-16806:389995:216] |
Generators of the group modulo torsion |
j |
2486057212701003241/593505859375000 |
j-invariant |
L |
5.0026450521695 |
L(r)(E,1)/r! |
Ω |
0.48468455216952 |
Real period |
R |
6.192867129489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121550bj1 |
Quadratic twists by: 5 |