Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864a |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
14693512249484288 = 210 · 112 · 179 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57266795,166802451946] |
[a1,a2,a3,a4,a6] |
Generators |
[4707:39182:1] |
Generators of the group modulo torsion |
j |
840308702533978500/594473 |
j-invariant |
L |
4.7357227563141 |
L(r)(E,1)/r! |
Ω |
0.24436944196534 |
Real period |
R |
4.8448393528762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25432i1 2992b1 |
Quadratic twists by: -4 17 |