Atkin-Lehner |
19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
1349b |
Isogeny class |
Conductor |
1349 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4068 |
Modular degree for the optimal curve |
Δ |
-1626668684503939 = -1 · 199 · 712 |
Discriminant |
Eigenvalues |
0 0 -1 -3 -3 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,29362,-123483] |
[a1,a2,a3,a4,a6] |
j |
2799500923617509376/1626668684503939 |
j-invariant |
L |
0.56163523752336 |
L(r)(E,1)/r! |
Ω |
0.28081761876168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21584c1 86336h1 12141c1 33725b1 |
Quadratic twists by: -4 8 -3 5 |