Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600ch |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
87362000 = 24 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620,-5925] |
[a1,a2,a3,a4,a6] |
Generators |
[29:22:1] |
Generators of the group modulo torsion |
j |
13178585088/43681 |
j-invariant |
L |
4.9201376550609 |
L(r)(E,1)/r! |
Ω |
0.95694765685994 |
Real period |
R |
2.5707454430239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20900f1 83600cf1 |
Quadratic twists by: -4 5 |