Atkin-Lehner |
2+ 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280v |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-25005726720 = -1 · 210 · 32 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1320,-20412] |
[a1,a2,a3,a4,a6] |
j |
-248584770724/24419655 |
j-invariant |
L |
3.1504649135881 |
L(r)(E,1)/r! |
Ω |
0.39380811436191 |
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 |
29640q1 |
Quadratic twists by: -4 |