Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984cc |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-963540302564929536 = -1 · 212 · 36 · 199 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -5 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1975392,-1069674768] |
[a1,a2,a3,a4,a6] |
Generators |
[576225976893771:2664196565893983:352943569763] |
Generators of the group modulo torsion |
j |
-884736 |
j-invariant |
L |
5.0967173128542 |
L(r)(E,1)/r! |
Ω |
0.063668820578619 |
Real period |
R |
20.012610829506 |
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 |
3249a2 5776g2 51984cc1 |
Quadratic twists by: -4 -3 -19 |