Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760bf |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
211261440000 = 214 · 3 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13120,582400] |
[a1,a2,a3,a4,a6] |
Generators |
[42:322:1] |
Generators of the group modulo torsion |
j |
60981537602881/51577500 |
j-invariant |
L |
7.0268603148483 |
L(r)(E,1)/r! |
Ω |
0.99274156135833 |
Real period |
R |
1.7695593164324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970q2 |
Quadratic twists by: -4 |