Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150z |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.1849728080089E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1886939,-165616661872] |
[a1,a2,a3,a4,a6] |
Generators |
[294089564393536131042014290964105997426426:238860979296335477740944997352330140309382669:445262039942474239752124871847413432] |
Generators of the group modulo torsion |
j |
4847542295/77309411328 |
j-invariant |
L |
4.4941561472912 |
L(r)(E,1)/r! |
Ω |
0.032982956124172 |
Real period |
R |
68.128462020989 |
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 |
54150cf2 54150bp2 |
Quadratic twists by: 5 -19 |