Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ff |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8742808166976000000 = 212 · 314 · 56 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585732,97637056] |
[a1,a2,a3,a4,a6] |
j |
7442744143086784/2927948765625 |
j-invariant |
L |
2.530056178431 |
L(r)(E,1)/r! |
Ω |
0.21083801486973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440fj2 18720j1 12480co2 |
Quadratic twists by: -4 8 -3 |