Atkin-Lehner |
2- 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113100i |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
2.7769186817614E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2162633,-924294738] |
[a1,a2,a3,a4,a6] |
j |
4474375016012824576/1110767472704565 |
j-invariant |
L |
1.5211047269937 |
L(r)(E,1)/r! |
Ω |
0.12675867778269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620i1 |
Quadratic twists by: 5 |