Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950v |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1617468750 = 2 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,1566] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:68:1] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
4.4811039917085 |
L(r)(E,1)/r! |
Ω |
1.3730635375462 |
Real period |
R |
1.6317904704238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3550j1 1278j1 |
Quadratic twists by: -3 5 |