Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728er |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
48624905048444928 = 212 · 314 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249737,-46933737] |
[a1,a2,a3,a4,a6] |
j |
420546646634696128/11871314709093 |
j-invariant |
L |
2.995061844181 |
L(r)(E,1)/r! |
Ω |
0.21393298890801 |
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 |
49728cv2 24864t1 |
Quadratic twists by: -4 8 |