Atkin-Lehner |
2+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101866f |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-740609638143967232 = -1 · 214 · 318 · 53 |
Discriminant |
Eigenvalues |
2+ -3 4 2 2 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,220850,-10942892] |
[a1,a2,a3,a4,a6] |
j |
1342284742791/834486272 |
j-invariant |
L |
1.3136776176635 |
L(r)(E,1)/r! |
Ω |
0.16420969771407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3286b1 |
Quadratic twists by: -31 |