Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
72828be |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
220320 |
Modular degree for the optimal curve |
Δ |
-569556643542768 = -1 · 24 · 36 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14739,-918731] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2853:1] |
Generators of the group modulo torsion |
j |
4352/7 |
j-invariant |
L |
6.5832244863847 |
L(r)(E,1)/r! |
Ω |
0.27290079062623 |
Real period |
R |
4.02052364467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092i1 72828p1 |
Quadratic twists by: -3 17 |