Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480bd |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-12673600 = -1 · 26 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,170] |
[a1,a2,a3,a4,a6] |
Generators |
[165:530:27] |
Generators of the group modulo torsion |
j |
85184/198025 |
j-invariant |
L |
8.0923842249268 |
L(r)(E,1)/r! |
Ω |
1.7632626779385 |
Real period |
R |
4.5894377089567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480be1 14240j2 |
Quadratic twists by: -4 8 |