Atkin-Lehner |
3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
121605k |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1576979250246675 = -1 · 312 · 52 · 116 · 67 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,28879,-277414] |
[a1,a2,a3,a4,a6] |
Generators |
[122:3263:8] [22:607:1] |
Generators of the group modulo torsion |
j |
1503484706816/890163675 |
j-invariant |
L |
10.67205984761 |
L(r)(E,1)/r! |
Ω |
0.27834817022963 |
Real period |
R |
0.79876429604791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1005b1 |
Quadratic twists by: -11 |