Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ce |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1948717100000000 = 28 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182508,29996012] |
[a1,a2,a3,a4,a6] |
Generators |
[613662:-32352875:216] |
Generators of the group modulo torsion |
j |
94875856/275 |
j-invariant |
L |
8.5431862493552 |
L(r)(E,1)/r! |
Ω |
0.46876572507016 |
Real period |
R |
9.1124263064064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12100h2 9680bd2 4400o2 |
Quadratic twists by: -4 5 -11 |