Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528u |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-46373719506688 = -1 · 28 · 79 · 672 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5831,-369754] |
[a1,a2,a3,a4,a6] |
Generators |
[3780791:28795536:29791] |
Generators of the group modulo torsion |
j |
-2122416/4489 |
j-invariant |
L |
4.3284662236834 |
L(r)(E,1)/r! |
Ω |
0.25613214926606 |
Real period |
R |
8.4496738033134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26264b2 52528t2 |
Quadratic twists by: -4 -7 |