Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472c |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-44326378432 = -1 · 26 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 0 4 7- -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-833,-13720] |
[a1,a2,a3,a4,a6] |
j |
-8489664/5887 |
j-invariant |
L |
3.4487511100551 |
L(r)(E,1)/r! |
Ω |
0.43109388875275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45472b1 90944dl1 6496e1 |
Quadratic twists by: -4 8 -7 |