Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376s |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
219152384 = 220 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,-1200] |
[a1,a2,a3,a4,a6] |
j |
5545233/836 |
j-invariant |
L |
1.2303820368763 |
L(r)(E,1)/r! |
Ω |
1.2303820368763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13376a1 3344d1 120384cz1 |
Quadratic twists by: -4 8 -3 |