Atkin-Lehner |
2- 3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bl |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-163429576128 = -1 · 26 · 38 · 72 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,985,15135] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-190:1] |
Generators of the group modulo torsion |
j |
145116956375/224183232 |
j-invariant |
L |
11.46779520576 |
L(r)(E,1)/r! |
Ω |
0.69489988121702 |
Real period |
R |
0.68761675339444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25662f1 |
Quadratic twists by: -3 |