Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400u |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
11508480000 = 211 · 35 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,2388] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-60:1] [-17:90:1] |
Generators of the group modulo torsion |
j |
19450850/8991 |
j-invariant |
L |
9.7050595530695 |
L(r)(E,1)/r! |
Ω |
1.1400619067444 |
Real period |
R |
0.14187913094394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22200p1 44400f1 |
Quadratic twists by: -4 5 |