Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cv |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7379698233600 = 28 · 34 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32356,2225600] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1470:1] |
Generators of the group modulo torsion |
j |
124386546256/245025 |
j-invariant |
L |
7.0092586177102 |
L(r)(E,1)/r! |
Ω |
0.74429814747328 |
Real period |
R |
0.58857954312915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360j2 1320j2 |
Quadratic twists by: -4 -7 |