Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2478b |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3481654428 = 22 · 36 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7351,241934] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:572:1] |
Generators of the group modulo torsion |
j |
43921589701515625/3481654428 |
j-invariant |
L |
2.8562033198625 |
L(r)(E,1)/r! |
Ω |
1.3417428107892 |
Real period |
R |
1.0643631912521 |
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 |
19824r2 79296k2 7434i2 61950bj2 |
Quadratic twists by: -4 8 -3 5 |