Atkin-Lehner |
2- 3- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bu |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
2856 |
Product of Tamagawa factors cp |
deg |
6031872 |
Modular degree for the optimal curve |
Δ |
-1.1456996019786E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2597324,2291479247] |
[a1,a2,a3,a4,a6] |
Generators |
[3165:-162107:1] [-1749:39367:1] |
Generators of the group modulo torsion |
j |
-2658118956675159342457/1571604392288845824 |
j-invariant |
L |
13.311989402181 |
L(r)(E,1)/r! |
Ω |
0.14308151452378 |
Real period |
R |
0.03257626067608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662q1 |
Quadratic twists by: -3 |