Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008h |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-264315475049472 = -1 · 210 · 32 · 7 · 114 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19992,1346688] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:1104:1] |
Generators of the group modulo torsion |
j |
-863006780831332/258120581103 |
j-invariant |
L |
6.4566122029246 |
L(r)(E,1)/r! |
Ω |
0.52258495567204 |
Real period |
R |
1.5443929575935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504y3 |
Quadratic twists by: -4 |