Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400a |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-7100000000 = -1 · 28 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,425,-2250] |
[a1,a2,a3,a4,a6] |
Generators |
[9:48:1] |
Generators of the group modulo torsion |
j |
2122416/1775 |
j-invariant |
L |
3.7102255809041 |
L(r)(E,1)/r! |
Ω |
0.73308665346507 |
Real period |
R |
2.5305504904277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14200c1 113600bv1 5680a1 |
Quadratic twists by: -4 8 5 |