Atkin-Lehner |
2- 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85140g |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7597802201166524160 = 28 · 315 · 5 · 112 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4662903,-3873274418] |
[a1,a2,a3,a4,a6] |
Generators |
[-926577:155078:729] |
Generators of the group modulo torsion |
j |
60079368888914126416/40711817350215 |
j-invariant |
L |
5.1391864320177 |
L(r)(E,1)/r! |
Ω |
0.1027432086503 |
Real period |
R |
8.3366198435163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28380f2 |
Quadratic twists by: -3 |