Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094bt |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-71175791589654528 = -1 · 216 · 39 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,78709,-9638373] |
[a1,a2,a3,a4,a6] |
j |
628762020263/829882368 |
j-invariant |
L |
2.9540671099134 |
L(r)(E,1)/r! |
Ω |
0.18462919443148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19698a1 8442c1 |
Quadratic twists by: -3 -7 |