Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312q |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-16666845888 = -1 · 26 · 3 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,202,6180] |
[a1,a2,a3,a4,a6] |
Generators |
[66:558:1] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
7.4338094674932 |
L(r)(E,1)/r! |
Ω |
0.92118771086962 |
Real period |
R |
4.0349048195365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312bd1 672g1 |
Quadratic twists by: -4 -11 |