Atkin-Lehner |
2- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28304c |
Isogeny class |
Conductor |
28304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-10521106753847296 = -1 · 216 · 294 · 613 |
Discriminant |
Eigenvalues |
2- -2 1 -1 -3 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21440,-5087948] |
[a1,a2,a3,a4,a6] |
j |
-266108264948161/2568629578576 |
j-invariant |
L |
0.6880464588508 |
L(r)(E,1)/r! |
Ω |
0.17201161471267 |
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 |
3538d1 113216n1 |
Quadratic twists by: -4 8 |