Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008ce |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-3420742332801024 = -1 · 213 · 311 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- -1 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-824,-2814252] |
[a1,a2,a3,a4,a6] |
Generators |
[316:-5346:1] |
Generators of the group modulo torsion |
j |
-15124197817/835142171094 |
j-invariant |
L |
9.5841532462934 |
L(r)(E,1)/r! |
Ω |
0.20353241948331 |
Real period |
R |
0.53510311821802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626b1 |
Quadratic twists by: -4 |