Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850ci |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-9.32889850112E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,414362,-4645838108] |
[a1,a2,a3,a4,a6] |
j |
454786175/539230208 |
j-invariant |
L |
4.3458881545778 |
L(r)(E,1)/r! |
Ω |
0.060359560886176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850bm1 9350e1 |
Quadratic twists by: 5 -11 |