Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19760m |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41760 |
Modular degree for the optimal curve |
Δ |
-64378574000 = -1 · 24 · 53 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 6 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,872,7127] |
[a1,a2,a3,a4,a6] |
j |
4583035109376/4023660875 |
j-invariant |
L |
6.4645018784265 |
L(r)(E,1)/r! |
Ω |
0.71827798649184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940c1 79040ch1 98800ca1 |
Quadratic twists by: -4 8 5 |