Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488hd |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-868932506508853248 = -1 · 222 · 33 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189793,54929951] |
[a1,a2,a3,a4,a6] |
j |
-500313625/574992 |
j-invariant |
L |
4.5842850961806 |
L(r)(E,1)/r! |
Ω |
0.25468250861871 |
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 |
103488a1 25872bc1 103488gb1 |
Quadratic twists by: -4 8 -7 |