Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790em |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-632244279582720 = -1 · 213 · 38 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11633,-1299679] |
[a1,a2,a3,a4,a6] |
Generators |
[303:-4940:1] |
Generators of the group modulo torsion |
j |
-696213191647/2528501760 |
j-invariant |
L |
10.201574826665 |
L(r)(E,1)/r! |
Ω |
0.21067871751045 |
Real period |
R |
0.31040017330977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930bv1 83790ff1 |
Quadratic twists by: -3 -7 |