Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064f |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6613136107473961728 = -1 · 28 · 35 · 138 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 6 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45348,-123766956] |
[a1,a2,a3,a4,a6] |
j |
-8346562000/5351892507 |
j-invariant |
L |
0.8540844062223 |
L(r)(E,1)/r! |
Ω |
0.10676055114372 |
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 |
5928j2 |
Quadratic twists by: 13 |