Atkin-Lehner |
2- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120472i |
Isogeny class |
Conductor |
120472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2650384 = 24 · 112 · 372 |
Discriminant |
Eigenvalues |
2- -1 1 1 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3860,-91031] |
[a1,a2,a3,a4,a6] |
Generators |
[-960:1:27] |
Generators of the group modulo torsion |
j |
290452221184/121 |
j-invariant |
L |
6.0952195683293 |
L(r)(E,1)/r! |
Ω |
0.60568018218606 |
Real period |
R |
2.5158572705078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120472e1 |
Quadratic twists by: 37 |