Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944t |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
3641827392 = 26 · 39 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19137,-1018960] |
[a1,a2,a3,a4,a6] |
Generators |
[172:882:1] |
Generators of the group modulo torsion |
j |
16612606588096/78057 |
j-invariant |
L |
5.6134944164156 |
L(r)(E,1)/r! |
Ω |
0.4059113666063 |
Real period |
R |
3.4573400445377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998703332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944x1 39648b1 |
Quadratic twists by: -4 -3 |