Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cd |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1976466942226562500 = -1 · 22 · 510 · 116 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201730,76151397] |
[a1,a2,a3,a4,a6] |
j |
-32798729601/71402500 |
j-invariant |
L |
3.7282521343645 |
L(r)(E,1)/r! |
Ω |
0.2330157585625 |
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 |
15730k4 650a4 |
Quadratic twists by: 5 -11 |