Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600ba |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1334880000000000 = -1 · 214 · 34 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 3 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9792,-1721088] |
[a1,a2,a3,a4,a6] |
j |
2595575/33372 |
j-invariant |
L |
1.892023943642 |
L(r)(E,1)/r! |
Ω |
0.23650298832705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450bg1 123600cy1 |
Quadratic twists by: -4 5 |