Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2478b |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
2998637712 = 24 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-491,3206] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:76:1] |
Generators of the group modulo torsion |
j |
13052571603625/2998637712 |
j-invariant |
L |
2.8562033198625 |
L(r)(E,1)/r! |
Ω |
1.3417428107892 |
Real period |
R |
2.1287263825043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19824r1 79296k1 7434i1 61950bj1 |
Quadratic twists by: -4 8 -3 5 |