Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57536k |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
891469187615031296 = 230 · 29 · 315 |
Discriminant |
Eigenvalues |
2+ -2 3 -2 -4 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4497569,3669477823] |
[a1,a2,a3,a4,a6] |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
0.53588016700548 |
L(r)(E,1)/r! |
Ω |
0.26794008330065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536y1 1798a1 |
Quadratic twists by: -4 8 |