Atkin-Lehner |
2+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31262c |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
1750672 = 24 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37,69] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
16581375/5104 |
j-invariant |
L |
3.0794896300648 |
L(r)(E,1)/r! |
Ω |
2.4549249320065 |
Real period |
R |
1.254412951661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31262b1 |
Quadratic twists by: -7 |