Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376n |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
36461477888 = 217 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3404,-75888] |
[a1,a2,a3,a4,a6] |
Generators |
[-1132032:326060:35937] |
Generators of the group modulo torsion |
j |
33279932754/278179 |
j-invariant |
L |
5.8586524489326 |
L(r)(E,1)/r! |
Ω |
0.62534709737365 |
Real period |
R |
9.3686409892009 |
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 |
13376f3 3344a3 120384dw4 |
Quadratic twists by: -4 8 -3 |