Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900ba |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-26238079980000000 = -1 · 28 · 33 · 57 · 77 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50533,-8952937] |
[a1,a2,a3,a4,a6] |
j |
-3567775842304/6559519995 |
j-invariant |
L |
6.3027805010452 |
L(r)(E,1)/r! |
Ω |
0.15006622145969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780b1 |
Quadratic twists by: 5 |