Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488h |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3488011517952 = 220 · 39 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36396,-2671056] |
[a1,a2,a3,a4,a6] |
j |
1033364331/676 |
j-invariant |
L |
0.69132647602702 |
L(r)(E,1)/r! |
Ω |
0.34566323801351 |
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 |
7488bi2 234b2 7488f2 97344h2 |
Quadratic twists by: -4 8 -3 13 |