Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696b |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-48198172672 = -1 · 214 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-764,13328] |
[a1,a2,a3,a4,a6] |
Generators |
[64:476:1] |
Generators of the group modulo torsion |
j |
-3010120272/2941783 |
j-invariant |
L |
7.4357796205002 |
L(r)(E,1)/r! |
Ω |
1.0303650076859 |
Real period |
R |
3.6083230537963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696br1 10712b1 |
Quadratic twists by: -4 8 |