Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120v |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7219200000 = -1 · 214 · 3 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -4 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-881,10575] |
[a1,a2,a3,a4,a6] |
j |
-4620876496/440625 |
j-invariant |
L |
2.5867913559702 |
L(r)(E,1)/r! |
Ω |
1.2933956780857 |
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 |
45120bw1 2820a1 |
Quadratic twists by: -4 8 |