Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850o |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1102340545542500000 = -1 · 25 · 57 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11- 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-887901,-326040552] |
[a1,a2,a3,a4,a6] |
Generators |
[4417708417878:117605699380114:2979767519] |
Generators of the group modulo torsion |
j |
-2796665386969/39823520 |
j-invariant |
L |
5.6411724956657 |
L(r)(E,1)/r! |
Ω |
0.077698159126055 |
Real period |
R |
18.150920688203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20570i1 9350z1 |
Quadratic twists by: 5 -11 |