Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850ck |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1685032291764800 = -1 · 26 · 52 · 118 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7323,1986601] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-1362:1] [149:1982:1] |
Generators of the group modulo torsion |
j |
-980614705/38046272 |
j-invariant |
L |
13.819972010773 |
L(r)(E,1)/r! |
Ω |
0.39336346563 |
Real period |
R |
0.48795598090921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850bk1 9350a1 |
Quadratic twists by: 5 -11 |