Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400b |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5406720 |
Modular degree for the optimal curve |
Δ |
-5.2129212028563E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10944608,-17741514288] |
[a1,a2,a3,a4,a6] |
j |
-9061589884199351908/3258075751785207 |
j-invariant |
L |
0.48920469003444 |
L(r)(E,1)/r! |
Ω |
0.040767057261549 |
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 |
28200h1 2256e1 |
Quadratic twists by: -4 5 |