Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650cl |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-2063893500000000 = -1 · 28 · 33 · 59 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25862,-1486108] |
[a1,a2,a3,a4,a6] |
Generators |
[86:1130:1] |
Generators of the group modulo torsion |
j |
979442501491/1056713472 |
j-invariant |
L |
12.322168408062 |
L(r)(E,1)/r! |
Ω |
0.25142024428429 |
Real period |
R |
1.0210468236534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650p1 |
Quadratic twists by: 5 |