Atkin-Lehner |
2+ 3- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310bb |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
802665450000 = 24 · 36 · 55 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35514,2584548] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:486:1] [-63:2169:1] |
Generators of the group modulo torsion |
j |
6795193583744929/1101050000 |
j-invariant |
L |
9.2195486477049 |
L(r)(E,1)/r! |
Ω |
0.8654277221763 |
Real period |
R |
1.0653170003665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590n1 |
Quadratic twists by: -3 |