Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520j |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1333248 |
Modular degree for the optimal curve |
Δ |
-1.816644375E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-517347,-250131086] |
[a1,a2,a3,a4,a6] |
Generators |
[1643:57750:1] |
Generators of the group modulo torsion |
j |
-553867390580563692/657061767578125 |
j-invariant |
L |
7.8530236705035 |
L(r)(E,1)/r! |
Ω |
0.08513083800197 |
Real period |
R |
1.6472593108997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760y1 65520d1 |
Quadratic twists by: -4 -3 |