Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200w |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-121794818750000 = -1 · 24 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6050,499125] |
[a1,a2,a3,a4,a6] |
Generators |
[66:1089:1] |
Generators of the group modulo torsion |
j |
55296/275 |
j-invariant |
L |
3.8956154807213 |
L(r)(E,1)/r! |
Ω |
0.42313775049351 |
Real period |
R |
2.3016236888447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48400j1 4840c1 2200a1 |
Quadratic twists by: -4 5 -11 |