Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10318j |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-4993912 = -1 · 23 · 7 · 113 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42,28] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3200:1] |
Generators of the group modulo torsion |
j |
8181353375/4993912 |
j-invariant |
L |
5.0192635580205 |
L(r)(E,1)/r! |
Ω |
1.4955284846069 |
Real period |
R |
3.3561805139004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82544s1 92862v1 72226o1 113498e1 |
Quadratic twists by: -4 -3 -7 -11 |