Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350da |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
387322567187500 = 22 · 58 · 78 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31263,1892281] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1680:1] |
Generators of the group modulo torsion |
j |
1500625/172 |
j-invariant |
L |
7.2817195089307 |
L(r)(E,1)/r! |
Ω |
0.51706723192226 |
Real period |
R |
2.3471220845926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350a1 105350dg1 |
Quadratic twists by: 5 -7 |