Atkin-Lehner |
7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14161d |
Isogeny class |
Conductor |
14161 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
281496974301439687 = 79 · 178 |
Discriminant |
Eigenvalues |
-1 -3 -4 7- 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-165507,4517580] |
[a1,a2,a3,a4,a6] |
Generators |
[506:6827:1] |
Generators of the group modulo torsion |
j |
610929/343 |
j-invariant |
L |
1.2335167309156 |
L(r)(E,1)/r! |
Ω |
0.26653170584339 |
Real period |
R |
0.7713383335342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449bv1 2023a1 14161c1 |
Quadratic twists by: -3 -7 17 |