Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576cl |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
436123585567488 = 28 · 3 · 76 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36668,-2521128] |
[a1,a2,a3,a4,a6] |
j |
181037698000/14480427 |
j-invariant |
L |
3.1208139356518 |
L(r)(E,1)/r! |
Ω |
0.34675710396126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7644a4 122304fw4 91728ds4 624g4 |
Quadratic twists by: -4 8 -3 -7 |