Atkin-Lehner |
2+ 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13530k |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-23174845562880 = -1 · 220 · 34 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2612,226058] |
[a1,a2,a3,a4,a6] |
j |
1971887888896199/23174845562880 |
j-invariant |
L |
2.9921946686432 |
L(r)(E,1)/r! |
Ω |
0.49869911144053 |
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 |
108240y1 40590bh1 67650bz1 |
Quadratic twists by: -4 -3 5 |