Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042p |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
565638661618982952 = 23 · 3 · 79 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2126625,1192236333] |
[a1,a2,a3,a4,a6] |
Generators |
[12886:346749:8] |
Generators of the group modulo torsion |
j |
9040834853442015625/4807849294248 |
j-invariant |
L |
3.7916339932182 |
L(r)(E,1)/r! |
Ω |
0.28745967832475 |
Real period |
R |
6.5950710292941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126er4 6006r4 |
Quadratic twists by: -3 -7 |