Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14168j |
Isogeny class |
Conductor |
14168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
198352 = 24 · 72 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82,285] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:21:1] |
Generators of the group modulo torsion |
j |
3811055616/12397 |
j-invariant |
L |
2.9878753600197 |
L(r)(E,1)/r! |
Ω |
3.1906276220631 |
Real period |
R |
0.9364537996721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28336a1 113344bh1 127512p1 99176r1 |
Quadratic twists by: -4 8 -3 -7 |