Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36652i |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12312 |
Modular degree for the optimal curve |
Δ |
-283833088 = -1 · 28 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,131,-615] |
[a1,a2,a3,a4,a6] |
j |
19668992/22627 |
j-invariant |
L |
0.93366860632186 |
L(r)(E,1)/r! |
Ω |
0.93366860635684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36652b1 |
Quadratic twists by: -7 |