Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420o |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-17723310761376000 = -1 · 28 · 315 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53313,4310134] |
[a1,a2,a3,a4,a6] |
Generators |
[754:25515:8] |
Generators of the group modulo torsion |
j |
89795708880176/94968014625 |
j-invariant |
L |
7.7978789565511 |
L(r)(E,1)/r! |
Ω |
0.25729537159097 |
Real period |
R |
2.525592444027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19140g1 |
Quadratic twists by: -3 |