Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448bq |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1669592051712 = -1 · 212 · 312 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,60946] |
[a1,a2,a3,a4,a6] |
Generators |
[17:288:1] |
Generators of the group modulo torsion |
j |
37595375/559143 |
j-invariant |
L |
4.3072761827882 |
L(r)(E,1)/r! |
Ω |
0.62451752202191 |
Real period |
R |
1.7242415260032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6903f1 36816u1 |
Quadratic twists by: -4 -3 |