Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11160f |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1346493618000 = 24 · 36 · 53 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3258,44793] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:341:1] |
Generators of the group modulo torsion |
j |
327890958336/115440125 |
j-invariant |
L |
4.4960599048581 |
L(r)(E,1)/r! |
Ω |
0.78617967085345 |
Real period |
R |
1.4297176814485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22320e1 89280cp1 1240g1 55800bz1 |
Quadratic twists by: -4 8 -3 5 |