Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520y |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1261440000000 = -1 · 213 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2360,31988] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:150:1] |
Generators of the group modulo torsion |
j |
354744554039/307968750 |
j-invariant |
L |
6.8667941332848 |
L(r)(E,1)/r! |
Ω |
0.55990316529531 |
Real period |
R |
0.29200602630155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190b1 70080bm1 52560w1 87600bb1 |
Quadratic twists by: -4 8 -3 5 |