Atkin-Lehner |
2- 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674s |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
467250248807387136 = 212 · 312 · 74 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-270779,-43056597] |
[a1,a2,a3,a4,a6] |
j |
3011893562835369577/640946843357184 |
j-invariant |
L |
5.0985931305249 |
L(r)(E,1)/r! |
Ω |
0.21244138043878 |
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 |
12558c2 |
Quadratic twists by: -3 |