Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696cc |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2808086528 = 221 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -2 2 1 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6817,-218913] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1032:1] |
Generators of the group modulo torsion |
j |
133667977897/10712 |
j-invariant |
L |
4.7108418382518 |
L(r)(E,1)/r! |
Ω |
0.52540960842752 |
Real period |
R |
4.4830183602185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bd1 21424g1 |
Quadratic twists by: -4 8 |