Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842a |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1271808 |
Modular degree for the optimal curve |
Δ |
-1.6613258662327E+20 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186307,-620859387] |
[a1,a2,a3,a4,a6] |
Generators |
[2677164492246016467:-167056462264461596394:682890134570981] |
Generators of the group modulo torsion |
j |
-3375/784 |
j-invariant |
L |
4.7348970826061 |
L(r)(E,1)/r! |
Ω |
0.080981461062052 |
Real period |
R |
29.234450826813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406a1 51842b1 |
Quadratic twists by: -7 -23 |