Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bg |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
624960 |
Modular degree for the optimal curve |
Δ |
-144812800000000 = -1 · 214 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-336617,-75089459] |
[a1,a2,a3,a4,a6] |
j |
-8113242988755/278528 |
j-invariant |
L |
0.39641003048857 |
L(r)(E,1)/r! |
Ω |
0.099102495982754 |
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 |
102850ca1 102850cw1 |
Quadratic twists by: 5 -11 |