Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5980d |
Isogeny class |
Conductor |
5980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
273271648000 = 28 · 53 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -4 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7140,-228488] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:20:1] |
Generators of the group modulo torsion |
j |
157267580823376/1067467375 |
j-invariant |
L |
3.6373916875318 |
L(r)(E,1)/r! |
Ω |
0.51957418687428 |
Real period |
R |
2.3335722337132 |
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 |
23920q1 95680h1 53820l1 29900g1 |
Quadratic twists by: -4 8 -3 5 |