Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8690g |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
-9559000000 = -1 · 26 · 56 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3665,85225] |
[a1,a2,a3,a4,a6] |
j |
-5444437982754961/9559000000 |
j-invariant |
L |
2.5883883566867 |
L(r)(E,1)/r! |
Ω |
1.2941941783433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
69520bh1 78210p1 43450b1 95590f1 |
Quadratic twists by: -4 -3 5 -11 |