Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296bx |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
144861841152 = 28 · 310 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-4142] |
[a1,a2,a3,a4,a6] |
j |
1409938000/776223 |
j-invariant |
L |
1.6897474817792 |
L(r)(E,1)/r! |
Ω |
0.84487374090003 |
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 |
9324h2 12432bq2 |
Quadratic twists by: -4 -3 |