Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850t |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-290775995951421200 = -1 · 24 · 52 · 116 · 177 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 11- 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,164195,4226765] |
[a1,a2,a3,a4,a6] |
Generators |
[589:17190:1] |
Generators of the group modulo torsion |
j |
11053587253415/6565418768 |
j-invariant |
L |
3.1304219360809 |
L(r)(E,1)/r! |
Ω |
0.18778824695921 |
Real period |
R |
0.29767779751905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850da1 850f1 |
Quadratic twists by: 5 -11 |