Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790df |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-7.9503315863538E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19126547,-32475842381] |
[a1,a2,a3,a4,a6] |
j |
-243602310198023065827/2502840869200000 |
j-invariant |
L |
5.0503613384358 |
L(r)(E,1)/r! |
Ω |
0.036074009729787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790e1 11970be1 |
Quadratic twists by: -3 -7 |