Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296c |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4443290885376 = 28 · 33 · 73 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4119,8230] |
[a1,a2,a3,a4,a6] |
j |
1118137874544/642837223 |
j-invariant |
L |
3.9713776979079 |
L(r)(E,1)/r! |
Ω |
0.66189628297636 |
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 |
18648r2 37296d2 |
Quadratic twists by: -4 -3 |