Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700c |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-40096348500000000 = -1 · 28 · 3 · 59 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6433508,-6278734488] |
[a1,a2,a3,a4,a6] |
Generators |
[5578:362434:1] |
Generators of the group modulo torsion |
j |
-7362195136213844176/10024087125 |
j-invariant |
L |
4.9868288165653 |
L(r)(E,1)/r! |
Ω |
0.047397731515995 |
Real period |
R |
5.8451330151289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17940l2 |
Quadratic twists by: 5 |