Atkin-Lehner |
3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
10413f |
Isogeny class |
Conductor |
10413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
843453 = 36 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 0 1 -2 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30,45] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
4096000/1157 |
j-invariant |
L |
3.6662831332142 |
L(r)(E,1)/r! |
Ω |
2.622721084407 |
Real period |
R |
0.69894644059018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1157a1 |
Quadratic twists by: -3 |