Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560bb |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
708632965168800000 = 28 · 3 · 55 · 7 · 596 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281540,-40719900] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:2950:1] |
Generators of the group modulo torsion |
j |
9640634282407920976/2768097520190625 |
j-invariant |
L |
5.8644868518121 |
L(r)(E,1)/r! |
Ω |
0.21179616421715 |
Real period |
R |
0.922976559954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120ba2 |
Quadratic twists by: -4 |