Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856l |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9514987688448 = -1 · 29 · 312 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15051,-726046] |
[a1,a2,a3,a4,a6] |
Generators |
[670:17028:1] |
Generators of the group modulo torsion |
j |
-1010234719304/25492401 |
j-invariant |
L |
3.710456873924 |
L(r)(E,1)/r! |
Ω |
0.21519438495525 |
Real period |
R |
4.3105874657887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856bf2 107712ci2 17952l2 |
Quadratic twists by: -4 8 -3 |