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 |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
3424256 = 214 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,1840] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:60:1] |
Generators of the group modulo torsion |
j |
154617552/209 |
j-invariant |
L |
5.8586524489326 |
L(r)(E,1)/r! |
Ω |
2.5013883894946 |
Real period |
R |
2.3421602473002 |
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 |
13376f1 3344a1 120384dw1 |
Quadratic twists by: -4 8 -3 |