Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bx |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
117640153892800 = 26 · 52 · 73 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37573,-2769909] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:212:1] |
Generators of the group modulo torsion |
j |
1094638105/21952 |
j-invariant |
L |
7.1549221003055 |
L(r)(E,1)/r! |
Ω |
0.34332849752156 |
Real period |
R |
3.4733120767071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bp2 42350x2 |
Quadratic twists by: 5 -11 |