Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8120h |
Isogeny class |
Conductor |
8120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3296720 = 24 · 5 · 72 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91,294] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
5266130944/206045 |
j-invariant |
L |
2.8900643251285 |
L(r)(E,1)/r! |
Ω |
2.4930972942757 |
Real period |
R |
0.57961322483569 |
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 |
16240a1 64960w1 73080t1 40600b1 |
Quadratic twists by: -4 8 -3 5 |