Atkin-Lehner |
3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525d |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
6378240 |
Modular degree for the optimal curve |
Δ |
-1.1843421957728E+23 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -5 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7318883,18229722293] |
[a1,a2,a3,a4,a6] |
Generators |
[-2873:124637:1] |
Generators of the group modulo torsion |
j |
-2774841359655424393216/7579790052945998355 |
j-invariant |
L |
2.5482120133852 |
L(r)(E,1)/r! |
Ω |
0.092528830165183 |
Real period |
R |
0.31295061927354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11505f1 |
Quadratic twists by: 5 |