Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120d |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
8643742619400000 = 26 · 32 · 55 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54026,1849260] |
[a1,a2,a3,a4,a6] |
j |
272496055143618496/135058478428125 |
j-invariant |
L |
0.73166730813399 |
L(r)(E,1)/r! |
Ω |
0.36583365365543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120v1 114240kh2 |
Quadratic twists by: -4 8 |