Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760y |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-7656983032320 = -1 · 29 · 310 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4200,-170820] |
[a1,a2,a3,a4,a6] |
j |
-16006818542408/14955044985 |
j-invariant |
L |
2.8555015432124 |
L(r)(E,1)/r! |
Ω |
0.28555015432124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17760g1 35520i1 53280m1 88800g1 |
Quadratic twists by: -4 8 -3 5 |