Atkin-Lehner |
2- 3+ 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38454i |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
11074752 = 26 · 33 · 13 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59065344,174697239777] |
[a1,a2,a3,a4,a6] |
Generators |
[4449:-811:1] |
Generators of the group modulo torsion |
j |
22788824590589290961196957697/11074752 |
j-invariant |
L |
7.6856655046797 |
L(r)(E,1)/r! |
Ω |
0.42535807315991 |
Real period |
R |
3.0114492508956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362g4 |
Quadratic twists by: -3 |