Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850m |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
-2.8158962095E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1617808,156201216] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:84809:8] |
Generators of the group modulo torsion |
j |
16917195186711/10172800000 |
j-invariant |
L |
3.3678560719884 |
L(r)(E,1)/r! |
Ω |
0.10637233338054 |
Real period |
R |
3.95762694053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999212484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20570f1 9350r1 |
Quadratic twists by: 5 -11 |