Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680k |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
310554053187840000 = 211 · 312 · 54 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-355000,-76752500] |
[a1,a2,a3,a4,a6] |
Generators |
[-175800:1091125:512] |
Generators of the group modulo torsion |
j |
7043457887336414/442092481875 |
j-invariant |
L |
5.8819887747014 |
L(r)(E,1)/r! |
Ω |
0.19635730912063 |
Real period |
R |
7.4888844229593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360dh2 64680t2 |
Quadratic twists by: -4 -7 |