Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504s |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
3685824 = 26 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 2 -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-1244] |
[a1,a2,a3,a4,a6] |
j |
24897088/79 |
j-invariant |
L |
1.2412846220603 |
L(r)(E,1)/r! |
Ω |
1.241284622266 |
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 |
45504ba1 22752l1 5056e1 |
Quadratic twists by: -4 8 -3 |