Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350bl |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-100225200000000 = -1 · 210 · 3 · 58 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -6 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-289151,59823698] |
[a1,a2,a3,a4,a6] |
Generators |
[311:-108:1] |
Generators of the group modulo torsion |
j |
-2048707405729/76800 |
j-invariant |
L |
4.9886744914104 |
L(r)(E,1)/r! |
Ω |
0.56029403591505 |
Real period |
R |
2.2259180767733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670p1 43350e1 |
Quadratic twists by: 5 17 |