Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
11952i |
Isogeny class |
Conductor |
11952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6852188307456 = -1 · 222 · 39 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -1 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,126738] |
[a1,a2,a3,a4,a6] |
Generators |
[39:378:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
5.2357191831156 |
L(r)(E,1)/r! |
Ω |
0.62086183964636 |
Real period |
R |
2.108246492528 |
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 |
1494a1 47808bb1 11952g1 |
Quadratic twists by: -4 8 -3 |