Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420a |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-20446233676704000 = -1 · 28 · 39 · 53 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68137983,-216487100682] |
[a1,a2,a3,a4,a6] |
Generators |
[821860567578926188950:105878402790949736826633:40194989131375000] |
Generators of the group modulo torsion |
j |
-6943209587313949665648/4057719875 |
j-invariant |
L |
5.0021031655049 |
L(r)(E,1)/r! |
Ω |
0.026273760732911 |
Real period |
R |
31.730663508449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57420d1 |
Quadratic twists by: -3 |