Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368bo |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
43276711900552704 = 29 · 310 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1158771,480009850] |
[a1,a2,a3,a4,a6] |
j |
461019267341732744/115946266023 |
j-invariant |
L |
2.1115286563104 |
L(r)(E,1)/r! |
Ω |
0.35192144268808 |
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 |
46368q2 92736bz2 15456f2 |
Quadratic twists by: -4 8 -3 |