Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
32960d |
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] |
Generators |
[1:8:1] [4:17:1] |
Generators of the group modulo torsion |
j |
21807104/12875 |
j-invariant |
L |
5.9957471688745 |
L(r)(E,1)/r! |
Ω |
1.3629495094853 |
Real period |
R |
2.1995485258799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32960l1 2060b1 |
Quadratic twists by: -4 8 |