Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072dh |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
20419584 = 210 · 3 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[35:204:1] |
Generators of the group modulo torsion |
j |
35995648/19941 |
j-invariant |
L |
5.2790012335244 |
L(r)(E,1)/r! |
Ω |
1.7725338120387 |
Real period |
R |
2.9782231503265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072t1 18768s1 |
Quadratic twists by: -4 8 |