Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296cf |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-259852271616 = -1 · 216 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-27470] |
[a1,a2,a3,a4,a6] |
j |
-38272753/87024 |
j-invariant |
L |
1.5832510969696 |
L(r)(E,1)/r! |
Ω |
0.39581277425613 |
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 |
4662b1 12432bv1 |
Quadratic twists by: -4 -3 |