Atkin-Lehner |
2+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51040a |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32665600 = 212 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1708,-27168] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5040:1] |
Generators of the group modulo torsion |
j |
134532546624/7975 |
j-invariant |
L |
6.3421851222559 |
L(r)(E,1)/r! |
Ω |
0.7426413601013 |
Real period |
R |
4.2700187889804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51040k2 102080j1 |
Quadratic twists by: -4 8 |