Atkin-Lehner |
2+ 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442d |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-13107161225028 = -1 · 22 · 3 · 139 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 5 -1 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59322,-5588760] |
[a1,a2,a3,a4,a6] |
j |
-4783242408049/2715492 |
j-invariant |
L |
1.2236002349193 |
L(r)(E,1)/r! |
Ω |
0.15295013750521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034f1 |
Quadratic twists by: 13 |