Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040bm |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
96256000 = 214 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3 5- 3 5 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412,-3184] |
[a1,a2,a3,a4,a6] |
j |
472058064/5875 |
j-invariant |
L |
6.3628749393769 |
L(r)(E,1)/r! |
Ω |
1.0604791565628 |
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 |
15040n1 3760k1 75200co1 |
Quadratic twists by: -4 8 5 |