Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bz |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-347340800000000 = -1 · 224 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -4 -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14367,-599137] |
[a1,a2,a3,a4,a6] |
Generators |
[1101:6400:27] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
5.6141951810264 |
L(r)(E,1)/r! |
Ω |
0.2920753716385 |
Real period |
R |
2.4027167845265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800r1 21200h1 16960q1 |
Quadratic twists by: -4 8 5 |