Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440p |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3594240000 = 214 · 33 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,-7056] |
[a1,a2,a3,a4,a6] |
j |
98055792/8125 |
j-invariant |
L |
3.690745093911 |
L(r)(E,1)/r! |
Ω |
0.92268627348287 |
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 |
37440dh2 2340b2 37440b2 |
Quadratic twists by: -4 8 -3 |