Atkin-Lehner |
3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57525j |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79104 |
Modular degree for the optimal curve |
Δ |
-10606171875 = -1 · 3 · 57 · 13 · 592 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 -3 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3658,-86531] |
[a1,a2,a3,a4,a6] |
Generators |
[784501804:8866354951:5088448] |
Generators of the group modulo torsion |
j |
-346540109824/678795 |
j-invariant |
L |
14.597233699378 |
L(r)(E,1)/r! |
Ω |
0.30690061764173 |
Real period |
R |
11.890847443914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11505a1 |
Quadratic twists by: 5 |