Atkin-Lehner |
11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60401k |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1147619 = -1 · 11 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 1 -1 -2 11- 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23211,1359164] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-42:1] |
Generators of the group modulo torsion |
j |
-4785293650755601/3971 |
j-invariant |
L |
2.9244456947073 |
L(r)(E,1)/r! |
Ω |
1.7124386129669 |
Real period |
R |
0.85388336623787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60401e1 |
Quadratic twists by: 17 |