Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192l |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
13523903026256 = 24 · 72 · 297 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6167,60770] |
[a1,a2,a3,a4,a6] |
j |
2725888/1421 |
j-invariant |
L |
5.5941493293454 |
L(r)(E,1)/r! |
Ω |
0.62157216018794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47096c1 3248e1 |
Quadratic twists by: -4 29 |