Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bh |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-13039520710656 = -1 · 234 · 3 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4449,-209409] |
[a1,a2,a3,a4,a6] |
Generators |
[25344771767483407:-363361090994503680:111125078232533] |
Generators of the group modulo torsion |
j |
-37159393753/49741824 |
j-invariant |
L |
6.2149572312209 |
L(r)(E,1)/r! |
Ω |
0.2784991063669 |
Real period |
R |
22.315896493427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576cq1 1518f1 |
Quadratic twists by: -4 8 |