Atkin-Lehner |
2+ 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070j |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
552096 |
Modular degree for the optimal curve |
Δ |
-25620195392000 = -1 · 29 · 53 · 113 · 673 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 11+ -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-698062,-224777164] |
[a1,a2,a3,a4,a6] |
j |
-28263674337340531571/19248832000 |
j-invariant |
L |
0.49550409413944 |
L(r)(E,1)/r! |
Ω |
0.08258400886594 |
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 |
81070s1 |
Quadratic twists by: -11 |