Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2704m |
Isogeny class |
Conductor |
2704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-347488235454464 = -1 · 215 · 139 |
Discriminant |
Eigenvalues |
2- 1 3 -3 0 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8056,855284] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:35152:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
4.0031162609388 |
L(r)(E,1)/r! |
Ω |
0.39026992186571 |
Real period |
R |
1.2821626894156 |
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 |
338d1 10816bo1 24336ch1 67600cq1 |
Quadratic twists by: -4 8 -3 5 |