Atkin-Lehner |
2+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39886i |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-2.9386687681954E+22 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62949541,-192440072691] |
[a1,a2,a3,a4,a6] |
Generators |
[554812510882095599358:39646422853460300641025:46797276758352147] |
Generators of the group modulo torsion |
j |
-234483984954923434830793/249782723881664512 |
j-invariant |
L |
5.259862457167 |
L(r)(E,1)/r! |
Ω |
0.026797462823263 |
Real period |
R |
24.535263337518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698b1 |
Quadratic twists by: -7 |