Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4640c |
Isogeny class |
Conductor |
4640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-21025000000000000 = -1 · 212 · 514 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99681,13945519] |
[a1,a2,a3,a4,a6] |
j |
-26742701668677184/5133056640625 |
j-invariant |
L |
1.4705366025286 |
L(r)(E,1)/r! |
Ω |
0.36763415063214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4640e2 9280f1 41760bg2 23200j2 |
Quadratic twists by: -4 8 -3 5 |