Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200bf |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-58080000 = -1 · 28 · 3 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,363] |
[a1,a2,a3,a4,a6] |
j |
-25600/363 |
j-invariant |
L |
3.3520102061946 |
L(r)(E,1)/r! |
Ω |
1.6760051030973 |
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 |
6600x1 52800fk1 39600bo1 13200k1 |
Quadratic twists by: -4 8 -3 5 |