Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640a |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-1339200000 = -1 · 29 · 33 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 0 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,237,1062] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:18:1] |
Generators of the group modulo torsion |
j |
106496424/96875 |
j-invariant |
L |
6.4000049237196 |
L(r)(E,1)/r! |
Ω |
0.9953884347449 |
Real period |
R |
1.6074139251397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44640ba1 89280o1 44640bc1 |
Quadratic twists by: -4 8 -3 |