Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280eg |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2926264320 = -1 · 214 · 36 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18963,-1005102] |
[a1,a2,a3,a4,a6] |
j |
-5154200289/20 |
j-invariant |
L |
0.40683910692456 |
L(r)(E,1)/r! |
Ω |
0.20341955346566 |
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 |
4410i1 3920bj1 35280ex1 |
Quadratic twists by: -4 -3 -7 |