Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330eb |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-419581586511360000 = -1 · 212 · 37 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-217643,-49931269] |
[a1,a2,a3,a4,a6] |
j |
-13293525831769/4892160000 |
j-invariant |
L |
2.60454254628 |
L(r)(E,1)/r! |
Ω |
0.1085226062887 |
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 |
19110bf1 8190bq1 |
Quadratic twists by: -3 -7 |