Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8330g |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-4689530500976562500 = -1 · 22 · 512 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-632713,219691193] |
[a1,a2,a3,a4,a6] |
Generators |
[-776:16013:1] |
Generators of the group modulo torsion |
j |
-99166425177001/16601562500 |
j-invariant |
L |
1.8902060194718 |
L(r)(E,1)/r! |
Ω |
0.23514685071919 |
Real period |
R |
2.0096016741142 |
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 |
66640bn1 74970dn1 41650bs1 8330i1 |
Quadratic twists by: -4 -3 5 -7 |