Atkin-Lehner |
3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525c |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
26209828125 = 37 · 56 · 13 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1383,18668] |
[a1,a2,a3,a4,a6] |
Generators |
[16:19:1] |
Generators of the group modulo torsion |
j |
18736316416/1677429 |
j-invariant |
L |
3.722491907172 |
L(r)(E,1)/r! |
Ω |
1.1590876693444 |
Real period |
R |
3.2115706220219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2301b1 |
Quadratic twists by: 5 |