Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bm |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-25499650176 = -1 · 27 · 37 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,632,4694] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:59:1] |
Generators of the group modulo torsion |
j |
571039705271/520401024 |
j-invariant |
L |
5.6555044440448 |
L(r)(E,1)/r! |
Ω |
0.77880665534574 |
Real period |
R |
0.51869690682968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126fc1 42042e1 |
Quadratic twists by: -3 -7 |