Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392c |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-876618699264 = -1 · 29 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2368,-7140] |
[a1,a2,a3,a4,a6] |
j |
2866919053816/1712145897 |
j-invariant |
L |
3.1081816991094 |
L(r)(E,1)/r! |
Ω |
0.5180302831849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7392l4 14784j4 22176p2 51744l2 |
Quadratic twists by: -4 8 -3 -7 |