Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968ba |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-20865309696 = -1 · 210 · 37 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,6050] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:52:1] [-2:72:1] |
Generators of the group modulo torsion |
j |
8788/21 |
j-invariant |
L |
10.44831910773 |
L(r)(E,1)/r! |
Ω |
0.84521827531348 |
Real period |
R |
3.0904203713117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984cb1 40656b1 121968bs1 |
Quadratic twists by: -4 -3 -11 |