Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cp |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
7196039161863552 = 27 · 32 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-361229,83314307] |
[a1,a2,a3,a4,a6] |
Generators |
[405:-2114:1] |
Generators of the group modulo torsion |
j |
44308125149913793/61165323648 |
j-invariant |
L |
7.21062408404 |
L(r)(E,1)/r! |
Ω |
0.41820442564007 |
Real period |
R |
0.20526029291504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126cg2 858l2 |
Quadratic twists by: -3 -7 |