Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58140p |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3221188560 = 24 · 38 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-43819] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4484:1] |
Generators of the group modulo torsion |
j |
123363917824/276165 |
j-invariant |
L |
5.8162911134854 |
L(r)(E,1)/r! |
Ω |
0.68564393922119 |
Real period |
R |
4.2414807313285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380b1 |
Quadratic twists by: -3 |