Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bl |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1541432592 = 24 · 37 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-590,5325] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:75:1] |
Generators of the group modulo torsion |
j |
31107273625/2114448 |
j-invariant |
L |
9.7741605782009 |
L(r)(E,1)/r! |
Ω |
1.4778289070984 |
Real period |
R |
0.82673309773128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758b1 |
Quadratic twists by: -3 |