Atkin-Lehner |
2+ 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
103376c |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3288183808 = -1 · 210 · 72 · 13 · 712 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,-2684] |
[a1,a2,a3,a4,a6] |
j |
150381500/3211117 |
j-invariant |
L |
1.3731071666216 |
L(r)(E,1)/r! |
Ω |
0.68655332702003 |
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 |
51688g2 |
Quadratic twists by: -4 |