Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bi |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26966016 |
Modular degree for the optimal curve |
Δ |
-8.2767751900884E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98963055,-578921842899] |
[a1,a2,a3,a4,a6] |
Generators |
[71673576811898259:11577696964039318566:2375529664607] |
Generators of the group modulo torsion |
j |
-1249761744922780803169/965040168960000000 |
j-invariant |
L |
4.8120245433625 |
L(r)(E,1)/r! |
Ω |
0.023161132932471 |
Real period |
R |
25.97036464814 |
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 |
27930dm1 11970bc1 |
Quadratic twists by: -3 -7 |