Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960ch |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5457195012096000000 = 218 · 32 · 56 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2822920,-1821155600] |
[a1,a2,a3,a4,a6] |
Generators |
[-950:1530:1] [-940:960:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
9.6949454452161 |
L(r)(E,1)/r! |
Ω |
0.11648825453756 |
Real period |
R |
6.9355672248154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002327 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870u6 240b6 |
Quadratic twists by: -4 -23 |