Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260u |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-13101392640 = -1 · 28 · 3 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,5655] |
[a1,a2,a3,a4,a6] |
Generators |
[-618:343:27] |
Generators of the group modulo torsion |
j |
-65536/435 |
j-invariant |
L |
8.3084585891798 |
L(r)(E,1)/r! |
Ω |
1.0851748023294 |
Real period |
R |
3.8281660101205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1740c1 |
Quadratic twists by: -7 |