Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8928b |
Isogeny class |
Conductor |
8928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-312408576 = -1 · 29 · 39 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 -3 3 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-14202] |
[a1,a2,a3,a4,a6] |
j |
-14886936/31 |
j-invariant |
L |
1.6551541793677 |
L(r)(E,1)/r! |
Ω |
0.41378854484192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8928f1 17856h1 8928g1 |
Quadratic twists by: -4 8 -3 |