Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400t |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-203136000000000 = -1 · 216 · 3 · 59 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6367,655137] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:736:1] |
Generators of the group modulo torsion |
j |
27871484/198375 |
j-invariant |
L |
4.360484368674 |
L(r)(E,1)/r! |
Ω |
0.41033869846738 |
Real period |
R |
2.6566372854149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400ir1 13800x1 22080bs1 |
Quadratic twists by: -4 8 5 |