Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260bb |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
235095790781250000 = 24 · 32 · 510 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157845,-6251400] |
[a1,a2,a3,a4,a6] |
j |
231052530417664/124892578125 |
j-invariant |
L |
5.1042536289424 |
L(r)(E,1)/r! |
Ω |
0.25521268135434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180d1 |
Quadratic twists by: -7 |