Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474s |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-92709058717184832 = -1 · 26 · 38 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 3 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86166,17610804] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:5258:1] |
Generators of the group modulo torsion |
j |
-5714497/7488 |
j-invariant |
L |
6.2279953354452 |
L(r)(E,1)/r! |
Ω |
0.30557624562972 |
Real period |
R |
5.0952875295798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158s1 84474bz1 |
Quadratic twists by: -3 -19 |