Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800y |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
87362000 = 24 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170,725] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:19:1] [14:33:1] |
Generators of the group modulo torsion |
j |
271669248/43681 |
j-invariant |
L |
8.568732212981 |
L(r)(E,1)/r! |
Ω |
1.8296386344077 |
Real period |
R |
1.1708230319147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600y1 41800j1 |
Quadratic twists by: -4 5 |