Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520s |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
544821200 = 24 · 52 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31435,2134758] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-70:1] [-69:1995:1] |
Generators of the group modulo torsion |
j |
214712801793181696/34051325 |
j-invariant |
L |
7.5390577186423 |
L(r)(E,1)/r! |
Ω |
1.2876407144924 |
Real period |
R |
0.97582315131303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040p1 |
Quadratic twists by: -4 |