Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bf |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-5010638843375000000 = -1 · 26 · 59 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-384742,141644916] |
[a1,a2,a3,a4,a6] |
j |
-1367631/1088 |
j-invariant |
L |
0.44557885049556 |
L(r)(E,1)/r! |
Ω |
0.22278938915059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102850cv1 102850cu1 |
Quadratic twists by: 5 -11 |