Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480g |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-428716720768000 = -1 · 210 · 53 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3520,-991772] |
[a1,a2,a3,a4,a6] |
Generators |
[96:490:1] |
Generators of the group modulo torsion |
j |
4708996427516/418668672625 |
j-invariant |
L |
4.7531956808171 |
L(r)(E,1)/r! |
Ω |
0.25183342755437 |
Real period |
R |
0.34952525203688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240f1 |
Quadratic twists by: -4 |