Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640m |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
487413356953600 = 226 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83788,-9274512] |
[a1,a2,a3,a4,a6] |
Generators |
[-1374:1785:8] |
Generators of the group modulo torsion |
j |
248158561089321/1859334400 |
j-invariant |
L |
5.1491505047176 |
L(r)(E,1)/r! |
Ω |
0.28073739715338 |
Real period |
R |
4.5853799288312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24640ba2 770e2 123200p2 |
Quadratic twists by: -4 8 5 |