Atkin-Lehner |
2+ 3+ 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38454c |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1875709212 = 22 · 3 · 13 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14161,-654551] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:35:1] [2038:27097:8] |
Generators of the group modulo torsion |
j |
314089486043290777/1875709212 |
j-invariant |
L |
5.0382402172958 |
L(r)(E,1)/r! |
Ω |
0.43764526733098 |
Real period |
R |
11.512155147981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362r4 |
Quadratic twists by: -3 |