Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
990h |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
216513000000 = 26 · 39 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96608,-11533373] |
[a1,a2,a3,a4,a6] |
Generators |
[793:19853:1] |
Generators of the group modulo torsion |
j |
5066026756449723/11000000 |
j-invariant |
L |
3.0762047385226 |
L(r)(E,1)/r! |
Ω |
0.27079877138894 |
Real period |
R |
1.8932906789942 |
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 |
7920u3 31680e3 990b1 4950d3 |
Quadratic twists by: -4 8 -3 5 |