Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816h |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-22789278471168 = -1 · 210 · 316 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 11- -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18800,1012164] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1458:1] |
Generators of the group modulo torsion |
j |
-717662748196804/22255154757 |
j-invariant |
L |
5.1910807424192 |
L(r)(E,1)/r! |
Ω |
0.67387305262017 |
Real period |
R |
0.24072972286078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12408e1 99264bj1 74448j1 |
Quadratic twists by: -4 8 -3 |