Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432cq |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
138498048 = 212 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,-297] |
[a1,a2,a3,a4,a6] |
Generators |
[37:216:1] |
Generators of the group modulo torsion |
j |
69934528/33813 |
j-invariant |
L |
7.3894719544951 |
L(r)(E,1)/r! |
Ω |
1.4637390169177 |
Real period |
R |
2.5241767381637 |
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 |
42432by2 21216b1 127296de2 |
Quadratic twists by: -4 8 -3 |