Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5330b |
Isogeny class |
Conductor |
5330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
692900 = 22 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-148,-653] |
[a1,a2,a3,a4,a6] |
Generators |
[25:91:1] |
Generators of the group modulo torsion |
j |
356250045969/692900 |
j-invariant |
L |
5.0110117065138 |
L(r)(E,1)/r! |
Ω |
1.3696650191611 |
Real period |
R |
1.8292836702447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42640d1 47970p1 26650g1 69290g1 |
Quadratic twists by: -4 -3 5 13 |