Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671o |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
8207560481337 = 38 · 79 · 31 |
Discriminant |
Eigenvalues |
1 3- 0 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18972,1001083] |
[a1,a2,a3,a4,a6] |
j |
25672375/279 |
j-invariant |
L |
1.4798966068757 |
L(r)(E,1)/r! |
Ω |
0.73994830343785 |
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 |
4557d1 13671k1 |
Quadratic twists by: -3 -7 |