Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fg |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
816475643544895488 = 215 · 36 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36434979,84649781538] |
[a1,a2,a3,a4,a6] |
j |
15226621995131793/2324168 |
j-invariant |
L |
1.7684596090351 |
L(r)(E,1)/r! |
Ω |
0.22105745379726 |
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 |
9702w3 8624w3 11088br3 |
Quadratic twists by: -4 -3 -7 |