Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
28400q |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
36352000000 = 215 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 0 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,-70412] |
[a1,a2,a3,a4,a6] |
Generators |
[78:400:1] |
Generators of the group modulo torsion |
j |
57066625/568 |
j-invariant |
L |
6.0614881210024 |
L(r)(E,1)/r! |
Ω |
0.63473243693195 |
Real period |
R |
1.1937093033841 |
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 |
3550b1 113600cl1 1136f1 |
Quadratic twists by: -4 8 5 |