Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800j |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1365031250000 = 24 · 59 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4250,90625] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:418:1] |
Generators of the group modulo torsion |
j |
271669248/43681 |
j-invariant |
L |
6.2545871224211 |
L(r)(E,1)/r! |
Ω |
0.8182392721591 |
Real period |
R |
1.9109896503494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600z1 41800y1 |
Quadratic twists by: -4 5 |