Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654v |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8689045361500567854 = 2 · 312 · 74 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-851500188,-9563471523270] |
[a1,a2,a3,a4,a6] |
j |
632678989847546725777/80515134 |
j-invariant |
L |
2.0122682086714 |
L(r)(E,1)/r! |
Ω |
0.027948169442904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22218bh4 2898e4 |
Quadratic twists by: -3 -23 |