Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850w |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
174845000000000 = 29 · 510 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 11- 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15325,352125] |
[a1,a2,a3,a4,a6] |
Generators |
[-24633:370215:343] |
Generators of the group modulo torsion |
j |
336886825/147968 |
j-invariant |
L |
9.2628145973203 |
L(r)(E,1)/r! |
Ω |
0.51398815040894 |
Real period |
R |
9.0107277928595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999971002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850df1 102850cd1 |
Quadratic twists by: 5 -11 |