Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14651i |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1723675499 = -1 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
0 1 -1 7- 5 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-261,-2663] |
[a1,a2,a3,a4,a6] |
Generators |
[170:339:8] |
Generators of the group modulo torsion |
j |
-16777216/14651 |
j-invariant |
L |
4.4291029001921 |
L(r)(E,1)/r! |
Ω |
0.57277287073113 |
Real period |
R |
1.9331846559608 |
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 |
2093c1 |
Quadratic twists by: -7 |