Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5840g |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
46720000000 = 213 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -5 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39043,-2969342] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:4:1] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
1.7191281392134 |
L(r)(E,1)/r! |
Ω |
0.33963617755308 |
Real period |
R |
2.5308377800017 |
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 |
730c1 23360bf1 52560bk1 29200r1 |
Quadratic twists by: -4 8 -3 5 |