Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470bf |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1992974060000 = -1 · 25 · 54 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39850,3059332] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-22:1] |
Generators of the group modulo torsion |
j |
-57839429434456681/16470860000 |
j-invariant |
L |
7.7609790680683 |
L(r)(E,1)/r! |
Ω |
0.81053217880599 |
Real period |
R |
0.068394033230833 |
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 |
67760bz1 76230bi1 42350i1 59290cy1 |
Quadratic twists by: -4 -3 5 -7 |