Atkin-Lehner |
2- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120472j |
Isogeny class |
Conductor |
120472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
3628375696 = 24 · 112 · 374 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 11- 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-2231] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:37:1] |
Generators of the group modulo torsion |
j |
350464/121 |
j-invariant |
L |
3.7416428091583 |
L(r)(E,1)/r! |
Ω |
1.0620444832471 |
Real period |
R |
0.29358804844517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120472d1 |
Quadratic twists by: 37 |