Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050bk |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5.8277492101125E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9718542,11658020116] |
[a1,a2,a3,a4,a6] |
Generators |
[-3340:84434:1] [-22578:1042039:8] |
Generators of the group modulo torsion |
j |
8912089320684236569/5116268168000 |
j-invariant |
L |
8.3666309934792 |
L(r)(E,1)/r! |
Ω |
0.19556591019907 |
Real period |
R |
0.89128423337619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450y4 18810bi4 |
Quadratic twists by: -3 5 |