Atkin-Lehner |
3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
69531m |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-128562819 = -1 · 3 · 72 · 11 · 433 |
Discriminant |
Eigenvalues |
2 3- 2 7- 11+ 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-142,-899] |
[a1,a2,a3,a4,a6] |
j |
-6507999232/2623731 |
j-invariant |
L |
8.1317803196839 |
L(r)(E,1)/r! |
Ω |
0.67764835966709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69531b1 |
Quadratic twists by: -7 |