Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008u |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1013374807796736 = -1 · 210 · 38 · 72 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2784,-1533564] |
[a1,a2,a3,a4,a6] |
j |
-2331242411908/989623835739 |
j-invariant |
L |
3.5415470788613 |
L(r)(E,1)/r! |
Ω |
0.22134669211603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504d3 |
Quadratic twists by: -4 |