Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488cn |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-10848156403392 = -1 · 26 · 35 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2287,153537] |
[a1,a2,a3,a4,a6] |
Generators |
[16:441:1] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
9.2179259541782 |
L(r)(E,1)/r! |
Ω |
0.52606034187786 |
Real period |
R |
0.58408546250693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488eu1 1617c1 103488bs1 |
Quadratic twists by: -4 8 -7 |