Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850n |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-28158962095000000 = -1 · 26 · 57 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133667,20502741] |
[a1,a2,a3,a4,a6] |
Generators |
[179:-1602:1] |
Generators of the group modulo torsion |
j |
-9541617561/1017280 |
j-invariant |
L |
3.3686284901885 |
L(r)(E,1)/r! |
Ω |
0.36422548406948 |
Real period |
R |
1.1560930791997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20570n1 9350y1 |
Quadratic twists by: 5 -11 |