Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328s |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-135143424 = -1 · 213 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 5 2 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-396] |
[a1,a2,a3,a4,a6] |
j |
23639903/32994 |
j-invariant |
L |
5.8851221799824 |
L(r)(E,1)/r! |
Ω |
0.98085369666392 |
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 |
3666j1 117312cl1 87984bd1 |
Quadratic twists by: -4 8 -3 |