Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400br |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1081058468428800 = 210 · 38 · 52 · 235 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 -7 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26715,-567610] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:324:1] |
Generators of the group modulo torsion |
j |
112985250820/57927087 |
j-invariant |
L |
5.0228585669751 |
L(r)(E,1)/r! |
Ω |
0.39457016611443 |
Real period |
R |
3.1824875512234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bk1 13800f1 41400x1 |
Quadratic twists by: -4 -3 5 |