Atkin-Lehner |
2- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25456d |
Isogeny class |
Conductor |
25456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
17513728 = 28 · 37 · 432 |
Discriminant |
Eigenvalues |
2- -1 2 -3 3 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,193] |
[a1,a2,a3,a4,a6] |
Generators |
[21:86:1] |
Generators of the group modulo torsion |
j |
199794688/68413 |
j-invariant |
L |
4.5525100175059 |
L(r)(E,1)/r! |
Ω |
2.0116714053218 |
Real period |
R |
0.56576213260556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6364a1 101824i1 |
Quadratic twists by: -4 8 |