Atkin-Lehner |
3+ 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16401c |
Isogeny class |
Conductor |
16401 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12608 |
Modular degree for the optimal curve |
Δ |
-13506928743 = -1 · 3 · 78 · 11 · 71 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-751,-10016] |
[a1,a2,a3,a4,a6] |
j |
-46940399921017/13506928743 |
j-invariant |
L |
0.89845842563745 |
L(r)(E,1)/r! |
Ω |
0.44922921281872 |
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 |
49203e1 114807z1 |
Quadratic twists by: -3 -7 |