Atkin-Lehner |
2- 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bs |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-92137919499730944 = -1 · 221 · 36 · 7 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3382871,2395728623] |
[a1,a2,a3,a4,a6] |
Generators |
[1987:58302:1] |
Generators of the group modulo torsion |
j |
-5872896869666916641833/126389464334336 |
j-invariant |
L |
12.577354604805 |
L(r)(E,1)/r! |
Ω |
0.31278602243378 |
Real period |
R |
2.8721950704608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7378j2 |
Quadratic twists by: -3 |