Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49296bd |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-249500665343115264 = -1 · 224 · 3 · 137 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 0 0 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111624,-19237164] |
[a1,a2,a3,a4,a6] |
j |
37551960647058311/60913248374784 |
j-invariant |
L |
2.3004055620918 |
L(r)(E,1)/r! |
Ω |
0.1643146830028 |
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 |
6162d1 |
Quadratic twists by: -4 |