Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38148i |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-6182295278970514176 = -1 · 28 · 32 · 113 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445445,165396327] |
[a1,a2,a3,a4,a6] |
Generators |
[921:23178:1] |
Generators of the group modulo torsion |
j |
-18939904/11979 |
j-invariant |
L |
8.0697926271393 |
L(r)(E,1)/r! |
Ω |
0.22060049686268 |
Real period |
R |
6.0968377541494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114444n1 38148g1 |
Quadratic twists by: -3 17 |