Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678t |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-26717021856 = -1 · 25 · 38 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,733,1667] |
[a1,a2,a3,a4,a6] |
Generators |
[15:118:1] |
Generators of the group modulo torsion |
j |
59822347031/36648864 |
j-invariant |
L |
6.2803615400768 |
L(r)(E,1)/r! |
Ω |
0.73206389964998 |
Real period |
R |
0.2144744995307 |
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 |
53424bd1 2226f1 46746bt1 |
Quadratic twists by: -4 -3 -7 |