Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850dk |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-4476032000 = -1 · 210 · 53 · 112 · 172 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1035,13467] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-100:1] [-21:170:1] |
Generators of the group modulo torsion |
j |
-8099457597/295936 |
j-invariant |
L |
10.419852443687 |
L(r)(E,1)/r! |
Ω |
1.3694463320292 |
Real period |
R |
0.19022016779072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850by1 102850bz1 |
Quadratic twists by: 5 -11 |