Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488f |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-2694890544192 = -1 · 26 · 313 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2728,55938] |
[a1,a2,a3,a4,a6] |
j |
14605803968/17537553 |
j-invariant |
L |
1.6221477750277 |
L(r)(E,1)/r! |
Ω |
0.5407160283906 |
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 |
103488cg1 51744y1 103488dz1 |
Quadratic twists by: -4 8 -7 |