Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790du |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
47803392 |
Modular degree for the optimal curve |
Δ |
-4.1576440298224E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2164612568,38764871424731] |
[a1,a2,a3,a4,a6] |
j |
-38128906520707954899583/1413309943872000 |
j-invariant |
L |
2.169905492047 |
L(r)(E,1)/r! |
Ω |
0.060275152288037 |
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 |
27930bn1 83790fq1 |
Quadratic twists by: -3 -7 |