Atkin-Lehner |
2- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64240m |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-82227200 = -1 · 212 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11+ 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-445] |
[a1,a2,a3,a4,a6] |
Generators |
[354:1115:27] |
Generators of the group modulo torsion |
j |
-262144/20075 |
j-invariant |
L |
7.3385752850199 |
L(r)(E,1)/r! |
Ω |
0.84830855691518 |
Real period |
R |
4.3254162799992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4015a1 |
Quadratic twists by: -4 |