Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520q |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8287508768000 = 28 · 53 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31900,2178000] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:2090:1] [-190:1190:1] |
Generators of the group modulo torsion |
j |
14023919500113616/32373081125 |
j-invariant |
L |
7.4783004116401 |
L(r)(E,1)/r! |
Ω |
0.73792639818225 |
Real period |
R |
0.21112935602556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040t2 |
Quadratic twists by: -4 |