Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966o |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
871142430398292 = 22 · 38 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3795687,2847268633] |
[a1,a2,a3,a4,a6] |
Generators |
[452:34757:1] |
Generators of the group modulo torsion |
j |
1718728631061625/247572 |
j-invariant |
L |
4.1280431095635 |
L(r)(E,1)/r! |
Ω |
0.39009854045614 |
Real period |
R |
0.66137826122511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322j2 5382n2 |
Quadratic twists by: -3 13 |