Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808u |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
32571392 = 216 · 7 · 71 |
Discriminant |
Eigenvalues |
2- -2 0 7+ -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-673,6495] |
[a1,a2,a3,a4,a6] |
Generators |
[17:16:1] |
Generators of the group modulo torsion |
j |
515150500/497 |
j-invariant |
L |
3.1695936331431 |
L(r)(E,1)/r! |
Ω |
2.0661308619903 |
Real period |
R |
1.5340720626427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808i1 7952a1 |
Quadratic twists by: -4 8 |