Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104g |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-166906801152 = -1 · 210 · 39 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-19710] |
[a1,a2,a3,a4,a6] |
j |
-78732/8281 |
j-invariant |
L |
3.6119805798828 |
L(r)(E,1)/r! |
Ω |
0.45149757248535 |
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 |
6552r2 52416dt2 13104h2 91728d2 |
Quadratic twists by: -4 8 -3 -7 |