Atkin-Lehner |
2- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8978b |
Isogeny class |
Conductor |
8978 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
172458 |
Modular degree for the optimal curve |
Δ |
-3326506414544003072 = -1 · 213 · 678 |
Discriminant |
Eigenvalues |
2- -1 2 -4 -4 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-119052,-89213651] |
[a1,a2,a3,a4,a6] |
j |
-459553/8192 |
j-invariant |
L |
1.4050569843992 |
L(r)(E,1)/r! |
Ω |
0.10808130649224 |
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 |
71824b1 80802f1 8978a1 |
Quadratic twists by: -4 -3 -67 |