Atkin-Lehner |
2+ 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598k |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
130056192 |
Modular degree for the optimal curve |
Δ |
7.4774590092923E+25 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12722652675,552353357297493] |
[a1,a2,a3,a4,a6] |
j |
312413072094513236932469495722801/102571454174106220756992 |
j-invariant |
L |
2.7666671798043 |
L(r)(E,1)/r! |
Ω |
0.04940477107359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866r1 |
Quadratic twists by: -3 |