Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850b |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
330566328125000 = 23 · 510 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51992,4491416] |
[a1,a2,a3,a4,a6] |
j |
108709425/2312 |
j-invariant |
L |
1.0824885311019 |
L(r)(E,1)/r! |
Ω |
0.54124437031941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850dl1 102850cg1 |
Quadratic twists by: 5 -11 |