Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4620i |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-295680 = -1 · 28 · 3 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,39] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-4194304/1155 |
j-invariant |
L |
4.081398484159 |
L(r)(E,1)/r! |
Ω |
2.9187025351981 |
Real period |
R |
1.3983605506006 |
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 |
18480by1 73920bc1 13860u1 23100g1 |
Quadratic twists by: -4 8 -3 5 |