Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32960v |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-2109440 = -1 · 212 · 5 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -2 6 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,457] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
-31554496/515 |
j-invariant |
L |
4.8755420669155 |
L(r)(E,1)/r! |
Ω |
2.6147651545992 |
Real period |
R |
0.93230974459401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32960x1 16480a1 |
Quadratic twists by: -4 8 |