Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342v |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1245690145728 = 26 · 310 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 6 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21870,-1238252] |
[a1,a2,a3,a4,a6] |
j |
4626574746247/4981824 |
j-invariant |
L |
3.1409027711032 |
L(r)(E,1)/r! |
Ω |
0.39261284638781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114w2 27342l2 |
Quadratic twists by: -3 -7 |