Atkin-Lehner |
2+ 3+ 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746c |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
108690051542601672 = 23 · 32 · 1112 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-221611,-36981419] |
[a1,a2,a3,a4,a6] |
j |
1203651370198812785977/108690051542601672 |
j-invariant |
L |
0.88524169304625 |
L(r)(E,1)/r! |
Ω |
0.22131042326226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238co3 |
Quadratic twists by: -3 |