Atkin-Lehner |
2+ 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966m |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
55816185348 = 22 · 312 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4761,127129] |
[a1,a2,a3,a4,a6] |
Generators |
[35:32:1] |
Generators of the group modulo torsion |
j |
16373519373457/76565412 |
j-invariant |
L |
4.4100962970802 |
L(r)(E,1)/r! |
Ω |
1.1226422793436 |
Real period |
R |
0.9820795943251 |
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 |
14322i1 |
Quadratic twists by: -3 |