Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
32960d |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-5594762240 = -1 · 210 · 5 · 1033 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 0 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-741,-8315] |
[a1,a2,a3,a4,a6] |
Generators |
[61:412:1] [121:1288:1] |
Generators of the group modulo torsion |
j |
-44001181696/5463635 |
j-invariant |
L |
5.9957471688745 |
L(r)(E,1)/r! |
Ω |
0.45431650316176 |
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 |
32960l2 2060b2 |
Quadratic twists by: -4 8 |