Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042u |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2286144 |
Modular degree for the optimal curve |
Δ |
6.503389962083E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3389061,-2371275927] |
[a1,a2,a3,a4,a6] |
Generators |
[7652:644107:1] |
Generators of the group modulo torsion |
j |
15239884291572073/230228665524 |
j-invariant |
L |
4.7627444499943 |
L(r)(E,1)/r! |
Ω |
0.11137229363141 |
Real period |
R |
7.1273627917958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ey1 42042bb1 |
Quadratic twists by: -3 -7 |