Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bp |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1388800 = -1 · 28 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[74:638:1] |
Generators of the group modulo torsion |
j |
270000/217 |
j-invariant |
L |
6.5024991250695 |
L(r)(E,1)/r! |
Ω |
1.4996637846697 |
Real period |
R |
4.3359712963883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21700a1 86800ch1 |
Quadratic twists by: -4 5 |