Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bo |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
134477649816846336 = 220 · 32 · 77 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1129525,461621696] |
[a1,a2,a3,a4,a6] |
Generators |
[1852:67796:1] |
Generators of the group modulo torsion |
j |
1354635530322645817/1143041163264 |
j-invariant |
L |
6.5131894454522 |
L(r)(E,1)/r! |
Ω |
0.32596548862718 |
Real period |
R |
3.3302040004715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fj1 6006i1 |
Quadratic twists by: -3 -7 |