Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696br |
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 |
[15708:74936:343] |
Generators of the group modulo torsion |
j |
-3010120272/2941783 |
j-invariant |
L |
6.4222282839741 |
L(r)(E,1)/r! |
Ω |
0.43671347858011 |
Real period |
R |
7.3529082560599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696b1 21424d1 |
Quadratic twists by: -4 8 |