Atkin-Lehner |
3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
121605l |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
9694380393225 = 33 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6779,-154519] |
[a1,a2,a3,a4,a6] |
j |
19443408769/5472225 |
j-invariant |
L |
3.2242684384591 |
L(r)(E,1)/r! |
Ω |
0.5373777968059 |
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 |
11055f1 |
Quadratic twists by: -11 |