Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640m |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-46299747450880 = -1 · 234 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1868,-328848] |
[a1,a2,a3,a4,a6] |
Generators |
[221484:2142595:1728] |
Generators of the group modulo torsion |
j |
-2749884201/176619520 |
j-invariant |
L |
5.1491505047176 |
L(r)(E,1)/r! |
Ω |
0.28073739715338 |
Real period |
R |
9.1707598576624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640ba1 770e1 123200p1 |
Quadratic twists by: -4 8 5 |