Atkin-Lehner |
2+ 3+ 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274h |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
4757508 = 22 · 33 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
307546875/176204 |
j-invariant |
L |
5.2284434842405 |
L(r)(E,1)/r! |
Ω |
2.0319053134014 |
Real period |
R |
1.2865863996657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274bf1 |
Quadratic twists by: -3 |