Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232r |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9646357174272 = 211 · 38 · 74 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30630384,-65239228980] |
[a1,a2,a3,a4,a6] |
Generators |
[3814245:-654441282:125] [1963230:-137821915:216] |
Generators of the group modulo torsion |
j |
1551854851286347223677154/4710135339 |
j-invariant |
L |
6.9723734343627 |
L(r)(E,1)/r! |
Ω |
0.064174344769026 |
Real period |
R |
108.64736460432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464s6 |
Quadratic twists by: -4 |