Atkin-Lehner |
3- 7- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471u |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
213259473 = 36 · 7 · 232 · 79 |
Discriminant |
Eigenvalues |
-1 3- 4 7- -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173,-476] |
[a1,a2,a3,a4,a6] |
j |
781229961/292537 |
j-invariant |
L |
2.7176192970928 |
L(r)(E,1)/r! |
Ω |
1.3588091722213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12719a1 |
Quadratic twists by: -3 |