Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3900b |
Isogeny class |
Conductor |
3900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-7472485612800 = -1 · 28 · 312 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1628,134472] |
[a1,a2,a3,a4,a6] |
j |
-74605986640/1167575877 |
j-invariant |
L |
1.2550817628886 |
L(r)(E,1)/r! |
Ω |
0.62754088144432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15600ca1 62400ct1 11700g1 3900m1 |
Quadratic twists by: -4 8 -3 5 |