Atkin-Lehner |
2- 3- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bq |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-286432097908572 = -1 · 22 · 36 · 7 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2410,-813599] |
[a1,a2,a3,a4,a6] |
j |
2124301926375/392910971068 |
j-invariant |
L |
3.1014922969842 |
L(r)(E,1)/r! |
Ω |
0.25845770655529 |
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 |
13706a1 |
Quadratic twists by: -3 |