Atkin-Lehner |
2- 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370bj |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
339492675600 = 24 · 36 · 52 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3120,-61200] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:90:1] |
Generators of the group modulo torsion |
j |
3358893190798081/339492675600 |
j-invariant |
L |
10.92588032578 |
L(r)(E,1)/r! |
Ω |
0.64295522125877 |
Real period |
R |
1.4161017704558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97110r2 |
Quadratic twists by: -3 |