Atkin-Lehner |
5+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10105a |
Isogeny class |
Conductor |
10105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-289691411966875 = -1 · 54 · 43 · 476 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 -3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13499,-548845] |
[a1,a2,a3,a4,a6] |
Generators |
[1642:26421:8] |
Generators of the group modulo torsion |
j |
272017178394361856/289691411966875 |
j-invariant |
L |
2.1342984129331 |
L(r)(E,1)/r! |
Ω |
0.2964041158267 |
Real period |
R |
5.4004776729745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90945g1 50525a1 |
Quadratic twists by: -3 5 |