Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850cf |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
785664 |
Modular degree for the optimal curve |
Δ |
3097485830450 = 2 · 52 · 118 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70848,7251982] |
[a1,a2,a3,a4,a6] |
Generators |
[10644:12341:64] |
Generators of the group modulo torsion |
j |
7338805705/578 |
j-invariant |
L |
8.2594349862212 |
L(r)(E,1)/r! |
Ω |
0.76179550088159 |
Real period |
R |
5.4210316033688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850bv1 102850z1 |
Quadratic twists by: 5 -11 |