Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400u |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
31856500000000 = 28 · 59 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 5 -4 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26833,1660963] |
[a1,a2,a3,a4,a6] |
j |
4273439744/63713 |
j-invariant |
L |
2.638869032355 |
L(r)(E,1)/r! |
Ω |
0.65971725015043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75400i1 |
Quadratic twists by: 5 |