Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680bf |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
25111473156000000 = 28 · 32 · 56 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-270300,53460000] |
[a1,a2,a3,a4,a6] |
Generators |
[135:4410:1] |
Generators of the group modulo torsion |
j |
72516235474384/833765625 |
j-invariant |
L |
9.3149530819881 |
L(r)(E,1)/r! |
Ω |
0.3789830421104 |
Real period |
R |
2.0482343638414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360bk2 9240c2 |
Quadratic twists by: -4 -7 |