Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600cv |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7300800000000 = 212 · 33 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8700,-284000] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:52:1] |
Generators of the group modulo torsion |
j |
42144192/4225 |
j-invariant |
L |
6.8478719649041 |
L(r)(E,1)/r! |
Ω |
0.49752588913851 |
Real period |
R |
1.7204813136953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600e2 93600f2 18720a2 |
Quadratic twists by: -4 -3 5 |