Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cq |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
551616 = 26 · 3 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,210] |
[a1,a2,a3,a4,a6] |
Generators |
[644:1575:64] |
Generators of the group modulo torsion |
j |
653972032/8619 |
j-invariant |
L |
7.3894719544951 |
L(r)(E,1)/r! |
Ω |
2.9274780338354 |
Real period |
R |
5.0483534763274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432by1 21216b2 127296de1 |
Quadratic twists by: -4 8 -3 |