Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042co |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.0537190582064E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-145417252,-675009678379] |
[a1,a2,a3,a4,a6] |
Generators |
[-77826099616035:35338173810527:11164327875] |
Generators of the group modulo torsion |
j |
2890568544635035786835377/7695534223160784 |
j-invariant |
L |
9.4031344872334 |
L(r)(E,1)/r! |
Ω |
0.04347560564058 |
Real period |
R |
13.517831362954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ch4 6006bf3 |
Quadratic twists by: -3 -7 |