Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840r |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-150288970590000 = -1 · 24 · 36 · 54 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8735,-665400] |
[a1,a2,a3,a4,a6] |
j |
-4607254207952896/9393060661875 |
j-invariant |
L |
3.7094414200199 |
L(r)(E,1)/r! |
Ω |
0.23184008871961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97680v1 |
Quadratic twists by: -4 |