Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600y |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
65600000000 = 212 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1033,3063] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:48:1] [-22:125:1] |
Generators of the group modulo torsion |
j |
1906624/1025 |
j-invariant |
L |
6.7635436221318 |
L(r)(E,1)/r! |
Ω |
0.96305040215749 |
Real period |
R |
1.7557605518358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600w1 32800p1 13120m1 |
Quadratic twists by: -4 8 5 |