Atkin-Lehner |
3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
69531k |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81984 |
Modular degree for the optimal curve |
Δ |
-400832378331 = -1 · 3 · 710 · 11 · 43 |
Discriminant |
Eigenvalues |
0 3- -2 7- 11+ 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1601,-17363] |
[a1,a2,a3,a4,a6] |
j |
1605632/1419 |
j-invariant |
L |
2.0841545030018 |
L(r)(E,1)/r! |
Ω |
0.52103862705082 |
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 |
69531a1 |
Quadratic twists by: -7 |