Atkin-Lehner |
2+ 3- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070n |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55418880 |
Modular degree for the optimal curve |
Δ |
-6.593954488741E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-726391239,-14471151682627] |
[a1,a2,a3,a4,a6] |
Generators |
[55576739626999218082:2841446262894349117999:1583244588432151] |
Generators of the group modulo torsion |
j |
-58144411162576105299387164529/90452050600014189420544000 |
j-invariant |
L |
4.842882306677 |
L(r)(E,1)/r! |
Ω |
0.013786258041303 |
Real period |
R |
29.273608860891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230f1 |
Quadratic twists by: -3 |