Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12276b |
Isogeny class |
Conductor |
12276 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1109701296 = -1 · 24 · 38 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,1145] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:27:1] [4:45:1] |
Generators of the group modulo torsion |
j |
80494592/95139 |
j-invariant |
L |
5.6152817394295 |
L(r)(E,1)/r! |
Ω |
1.0340989255534 |
Real period |
R |
0.90502007765289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104bp1 4092d1 |
Quadratic twists by: -4 -3 |