Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942g |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6677760 |
Modular degree for the optimal curve |
Δ |
-6.0762517558831E+20 |
Discriminant |
Eigenvalues |
2+ 1 -2 4 -4 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7421182,-7871877104] |
[a1,a2,a3,a4,a6] |
Generators |
[128265014002926938282643375613509410:7919080590215771343420386552226856772:23374443457817837699669156185201] |
Generators of the group modulo torsion |
j |
-859338553/11552 |
j-invariant |
L |
5.0765183657027 |
L(r)(E,1)/r! |
Ω |
0.045698710756768 |
Real period |
R |
55.543343363913 |
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 |
83942b1 |
Quadratic twists by: -47 |