Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328n |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-27950841856 = -1 · 225 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 0 1 7- 6 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133,-8022] |
[a1,a2,a3,a4,a6] |
Generators |
[74:638:1] |
Generators of the group modulo torsion |
j |
1296351/139264 |
j-invariant |
L |
5.0123209498732 |
L(r)(E,1)/r! |
Ω |
0.56103850095385 |
Real period |
R |
4.4670026578849 |
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 |
1666j1 53312br1 119952gk1 13328m1 |
Quadratic twists by: -4 8 -3 -7 |