Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dq |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-15855750000 = -1 · 24 · 37 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,-7625] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1125:1] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
7.0690312470542 |
L(r)(E,1)/r! |
Ω |
0.47947400045913 |
Real period |
R |
1.84291307203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100m1 34800df1 4176z1 |
Quadratic twists by: -4 -3 5 |