Atkin-Lehner |
2+ 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360m |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
-5737333680 = -1 · 24 · 34 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-455,5070] |
[a1,a2,a3,a4,a6] |
j |
-652517349376/358583355 |
j-invariant |
L |
2.5081857286437 |
L(r)(E,1)/r! |
Ω |
1.2540928643291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720l1 |
Quadratic twists by: -4 |