Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5700c |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
8906250000 = 24 · 3 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1458,-20463] |
[a1,a2,a3,a4,a6] |
j |
2195200/57 |
j-invariant |
L |
2.3213713465324 |
L(r)(E,1)/r! |
Ω |
0.77379044884413 |
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 |
22800dm1 91200ee1 17100t1 5700p1 |
Quadratic twists by: -4 8 -3 5 |