Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696bv |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
23555937113473024 = 244 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 1 1 0 -6 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-395905,95464831] |
[a1,a2,a3,a4,a6] |
Generators |
[1685295:1835008:4913] |
Generators of the group modulo torsion |
j |
26179288974173089/89858768896 |
j-invariant |
L |
6.6197524681299 |
L(r)(E,1)/r! |
Ω |
0.38113698995798 |
Real period |
R |
4.3421083782884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696e1 21424u1 |
Quadratic twists by: -4 8 |