Atkin-Lehner |
3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059k |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1288504014651 = -1 · 37 · 72 · 17 · 294 |
Discriminant |
Eigenvalues |
-2 3- -3 7+ -3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2649,-75740] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-914:1] |
Generators of the group modulo torsion |
j |
-2819954225152/1767495219 |
j-invariant |
L |
1.7176020800984 |
L(r)(E,1)/r! |
Ω |
0.32354921368596 |
Real period |
R |
0.33178918527786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10353c1 |
Quadratic twists by: -3 |