Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fi |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-27829165056 = -1 · 210 · 3 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-8007] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2989:1] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
6.3266062489304 |
L(r)(E,1)/r! |
Ω |
0.53369707519439 |
Real period |
R |
2.9635754797209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488dv1 25872v1 14784ck1 |
Quadratic twists by: -4 8 -7 |