Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5150r |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-1648000 = -1 · 27 · 53 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- -2 1 1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17,57] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] |
Generators of the group modulo torsion |
j |
4330747/13184 |
j-invariant |
L |
3.8706977964569 |
L(r)(E,1)/r! |
Ω |
1.8782401288606 |
Real period |
R |
0.14720078108455 |
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 |
41200bw1 46350z1 5150h1 |
Quadratic twists by: -4 -3 5 |