Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600d |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7220000000 = 28 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508,-1488] |
[a1,a2,a3,a4,a6] |
j |
3631696/1805 |
j-invariant |
L |
4.2334430384803 |
L(r)(E,1)/r! |
Ω |
1.0583607596201 |
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 |
3800e2 30400bk2 68400ch2 1520d2 |
Quadratic twists by: -4 8 -3 5 |