Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14014d |
Isogeny class |
Conductor |
14014 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
30148262144 = 28 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1283,-15275] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:46:1] |
Generators of the group modulo torsion |
j |
1986121593/256256 |
j-invariant |
L |
2.6223072141051 |
L(r)(E,1)/r! |
Ω |
0.80445772128252 |
Real period |
R |
3.2597203615927 |
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 |
112112z1 126126et1 2002b1 |
Quadratic twists by: -4 -3 -7 |