Atkin-Lehner |
2- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32240i |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-2579200 = -1 · 28 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -3 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,79] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [-1:10:1] |
Generators of the group modulo torsion |
j |
-4194304/10075 |
j-invariant |
L |
5.7481392882332 |
L(r)(E,1)/r! |
Ω |
2.2722114050195 |
Real period |
R |
0.6324388738143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8060a1 128960bk1 |
Quadratic twists by: -4 8 |