Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32960l |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-13184000 = -1 · 210 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59,-5] |
[a1,a2,a3,a4,a6] |
j |
21807104/12875 |
j-invariant |
L |
2.6260922632558 |
L(r)(E,1)/r! |
Ω |
1.3130461316299 |
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 |
32960d1 8240k1 |
Quadratic twists by: -4 8 |