Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600z |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
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 |
[475:10250:1] |
Generators of the group modulo torsion |
j |
271669248/43681 |
j-invariant |
L |
4.570638249677 |
L(r)(E,1)/r! |
Ω |
0.59772109106415 |
Real period |
R |
3.8233871264982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800j1 83600y1 |
Quadratic twists by: -4 5 |