Atkin-Lehner |
2- 3+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384y |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2018710315008 = 213 · 38 · 232 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11496,473328] |
[a1,a2,a3,a4,a6] |
j |
41024359272169/492849198 |
j-invariant |
L |
3.3252140467232 |
L(r)(E,1)/r! |
Ω |
0.83130350419342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798c2 |
Quadratic twists by: -4 |