Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560cg |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
-4856878202880000000 = -1 · 229 · 3 · 57 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58000,-106187500] |
[a1,a2,a3,a4,a6] |
Generators |
[10300:1045050:1] |
Generators of the group modulo torsion |
j |
-5268114828522001/1185761280000000 |
j-invariant |
L |
9.5489553032879 |
L(r)(E,1)/r! |
Ω |
0.10866834106873 |
Real period |
R |
6.2766048446655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570w1 |
Quadratic twists by: -4 |