Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540k |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-89779627221760 = -1 · 28 · 5 · 78 · 233 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136285,-19415985] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:32775:1] |
Generators of the group modulo torsion |
j |
-189691027456/60835 |
j-invariant |
L |
2.6687642922124 |
L(r)(E,1)/r! |
Ω |
0.12423641869129 |
Real period |
R |
7.1604454376183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160ck2 112700d2 22540g2 |
Quadratic twists by: -4 5 -7 |