Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790y |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-4.6618454022143E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1566735,823593581] |
[a1,a2,a3,a4,a6] |
Generators |
[-509:38842:1] |
Generators of the group modulo torsion |
j |
-4959007166945889/543553252480 |
j-invariant |
L |
4.5471163965208 |
L(r)(E,1)/r! |
Ω |
0.19626598191326 |
Real period |
R |
2.8960166419177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310r1 11970x1 |
Quadratic twists by: -3 -7 |