Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042u |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5.6938627486069E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28347456,56934862272] |
[a1,a2,a3,a4,a6] |
Generators |
[4562825205296:-342911317784136:557441767] |
Generators of the group modulo torsion |
j |
8918372451794425753/201570324081984 |
j-invariant |
L |
4.7627444499943 |
L(r)(E,1)/r! |
Ω |
0.11137229363141 |
Real period |
R |
21.382088375394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ey2 42042bb2 |
Quadratic twists by: -3 -7 |