Atkin-Lehner |
2+ 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
105040i |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
1153864400 = 24 · 52 · 134 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-315,1300] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:50:1] |
Generators of the group modulo torsion |
j |
216727177216/72116525 |
j-invariant |
L |
4.6918732834061 |
L(r)(E,1)/r! |
Ω |
1.421908219784 |
Real period |
R |
3.2997019177711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52520j1 |
Quadratic twists by: -4 |