Atkin-Lehner |
2- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81070x |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-29673646750 = -1 · 2 · 53 · 116 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,300,-8018] |
[a1,a2,a3,a4,a6] |
Generators |
[126:145:8] |
Generators of the group modulo torsion |
j |
1685159/16750 |
j-invariant |
L |
8.4602116859847 |
L(r)(E,1)/r! |
Ω |
0.58105645174717 |
Real period |
R |
4.8533504001892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
670b1 |
Quadratic twists by: -11 |