Atkin-Lehner |
2+ 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040d |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
21838080 = 28 · 3 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3756,87360] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:264:1] [44:96:1] |
Generators of the group modulo torsion |
j |
22896870049744/85305 |
j-invariant |
L |
10.77058569679 |
L(r)(E,1)/r! |
Ω |
1.8836933824258 |
Real period |
R |
5.7178019508289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080f2 |
Quadratic twists by: -4 |