Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241u |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30522003458512293 = -1 · 32 · 710 · 13 · 314 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17494,8451113] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-2887:1] [256:4429:1] |
Generators of the group modulo torsion |
j |
-5032738790353/259432748757 |
j-invariant |
L |
6.5525377070541 |
L(r)(E,1)/r! |
Ω |
0.3077497588616 |
Real period |
R |
2.6614715033799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463a4 |
Quadratic twists by: -7 |