Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1400i |
Isogeny class |
Conductor |
1400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-4287500000000 = -1 · 28 · 511 · 73 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -5 5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10300,414500] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
3.0926991689959 |
L(r)(E,1)/r! |
Ω |
0.77317479224897 |
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 |
2800h1 11200m1 12600p1 280b1 |
Quadratic twists by: -4 8 -3 5 |