Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650by |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-137832192000000 = -1 · 214 · 34 · 56 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6138,593892] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:822:1] |
Generators of the group modulo torsion |
j |
-1636774161625/8821260288 |
j-invariant |
L |
12.46551659027 |
L(r)(E,1)/r! |
Ω |
0.50420038727041 |
Real period |
R |
0.44148817842628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2346d1 |
Quadratic twists by: 5 |