Atkin-Lehner |
3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
60255g |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
23202816 |
Modular degree for the optimal curve |
Δ |
-2.2452919834598E+25 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-129072927,608721631402] |
[a1,a2,a3,a4,a6] |
Generators |
[11197:-753188:1] |
Generators of the group modulo torsion |
j |
-326213297221672571435536384/30799615685319758671875 |
j-invariant |
L |
3.6915645599803 |
L(r)(E,1)/r! |
Ω |
0.066185293898031 |
Real period |
R |
0.33200122378595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20085b1 |
Quadratic twists by: -3 |