Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304a |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
10888192 = 210 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,-294] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [-5:6:1] |
Generators of the group modulo torsion |
j |
237276/31 |
j-invariant |
L |
6.7743956879878 |
L(r)(E,1)/r! |
Ω |
1.5590726548163 |
Real period |
R |
2.1725721591811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12152b1 97216bl1 24304f1 |
Quadratic twists by: -4 8 -7 |