Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120x |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-72752902963200 = -1 · 220 · 310 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8801,-521985] |
[a1,a2,a3,a4,a6] |
j |
-287626699801/277530300 |
j-invariant |
L |
4.7425880824131 |
L(r)(E,1)/r! |
Ω |
0.23712940413675 |
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 |
45120bz1 1410c1 |
Quadratic twists by: -4 8 |