Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686z |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1185408 |
Modular degree for the optimal curve |
Δ |
-1015745459648728536 = -1 · 23 · 33 · 78 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182355,56990182] |
[a1,a2,a3,a4,a6] |
j |
-24100657/36504 |
j-invariant |
L |
1.4948316206409 |
L(r)(E,1)/r! |
Ω |
0.24913860321843 |
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 |
49686o1 3822bc1 |
Quadratic twists by: -7 13 |