Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28768b |
Isogeny class |
Conductor |
28768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5504 |
Modular degree for the optimal curve |
Δ |
3682304 = 212 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -3 -4 0 -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,64] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:13:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
2299968/899 |
j-invariant |
L |
6.1025488133231 |
L(r)(E,1)/r! |
Ω |
2.267172877238 |
Real period |
R |
0.67292495364944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28768c1 57536p1 |
Quadratic twists by: -4 8 |