Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260z |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
10968629214690000 = 24 · 38 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3110585,-2112629100] |
[a1,a2,a3,a4,a6] |
j |
1768242599692386304/5826988125 |
j-invariant |
L |
3.637802263404 |
L(r)(E,1)/r! |
Ω |
0.11368132074499 |
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 |
12180b1 |
Quadratic twists by: -7 |