Atkin-Lehner |
2+ 3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402n |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4480055404102656 = 210 · 38 · 74 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-437526,-111236108] |
[a1,a2,a3,a4,a6] |
Generators |
[981:19582:1] |
Generators of the group modulo torsion |
j |
12705985062476094817/6145480664064 |
j-invariant |
L |
6.0008251882189 |
L(r)(E,1)/r! |
Ω |
0.18563554985383 |
Real period |
R |
4.0407300707317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000483 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22134ba2 |
Quadratic twists by: -3 |