Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800bd |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-31366828800 = -1 · 28 · 310 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,772,-1872] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-162:1] |
Generators of the group modulo torsion |
j |
7940227760/4901067 |
j-invariant |
L |
6.2206752713814 |
L(r)(E,1)/r! |
Ω |
0.67700641434198 |
Real period |
R |
0.22971256769422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600f1 49800j1 |
Quadratic twists by: -4 5 |