Atkin-Lehner |
3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415o |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-757402758704025 = -1 · 310 · 52 · 78 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14576,-1136509] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1268:1] |
Generators of the group modulo torsion |
j |
2911343039639/6437817225 |
j-invariant |
L |
5.4917451238268 |
L(r)(E,1)/r! |
Ω |
0.26229064029123 |
Real period |
R |
1.0468816419302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345a2 |
Quadratic twists by: -7 |