Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400p |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
9511568000000 = 210 · 56 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4953875,-4243905250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1323990214:-68816:1030301] |
Generators of the group modulo torsion |
j |
840308702533978500/594473 |
j-invariant |
L |
5.3380781787188 |
L(r)(E,1)/r! |
Ω |
0.10119598772918 |
Real period |
R |
8.7916499104102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800n1 1496a1 |
Quadratic twists by: -4 5 |