Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328bo |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-30959636098056192 = -1 · 237 · 37 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1624044,-796653232] |
[a1,a2,a3,a4,a6] |
j |
-2478846508717753/162004992 |
j-invariant |
L |
4.8144968247639 |
L(r)(E,1)/r! |
Ω |
0.066868011464764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328h1 14832p1 19776y1 |
Quadratic twists by: -4 8 -3 |