Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12584g |
Isogeny class |
Conductor |
12584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-518826440704 = -1 · 211 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 2 3 -1 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17464,-883188] |
[a1,a2,a3,a4,a6] |
Generators |
[2935917:69778764:4913] |
Generators of the group modulo torsion |
j |
-162365474/143 |
j-invariant |
L |
7.6258528070319 |
L(r)(E,1)/r! |
Ω |
0.20763885199519 |
Real period |
R |
9.181630429175 |
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 |
25168k1 100672w1 113256by1 1144c1 |
Quadratic twists by: -4 8 -3 -11 |