Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640c |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1743603558254611200 = -1 · 28 · 39 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25137,63511938] |
[a1,a2,a3,a4,a6] |
j |
2963088/2941225 |
j-invariant |
L |
1.6574294560468 |
L(r)(E,1)/r! |
Ω |
0.20717868200584 |
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 |
35280a2 17640bq2 88200er2 2520d2 |
Quadratic twists by: -4 -3 5 -7 |