Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190d |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-219000000000 = -1 · 29 · 3 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18494,-969808] |
[a1,a2,a3,a4,a6] |
Generators |
[2880346:91063785:2744] |
Generators of the group modulo torsion |
j |
-699491618082663769/219000000000 |
j-invariant |
L |
2.5190897920509 |
L(r)(E,1)/r! |
Ω |
0.20469465484577 |
Real period |
R |
12.306573388293 |
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 |
17520k3 70080o3 6570bb3 10950r3 |
Quadratic twists by: -4 8 -3 5 |