Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24650bf |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-204404209000000 = -1 · 26 · 56 · 172 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1087,687817] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:749:1] |
Generators of the group modulo torsion |
j |
9090072503/13081869376 |
j-invariant |
L |
5.3421042676491 |
L(r)(E,1)/r! |
Ω |
0.44132185532323 |
Real period |
R |
0.25218293081779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
986c2 |
Quadratic twists by: 5 |