Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634n |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-2.1428322154336E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-766026,7047828724] |
[a1,a2,a3,a4,a6] |
Generators |
[1369025:88471076:343] |
Generators of the group modulo torsion |
j |
-11828855157217/5098897932288 |
j-invariant |
L |
5.2821785683216 |
L(r)(E,1)/r! |
Ω |
0.098131715597316 |
Real period |
R |
8.9712392100923 |
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 |
10878x1 32634bg1 |
Quadratic twists by: -3 -7 |