Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960ct |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-453607484400000000 = -1 · 210 · 34 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32520,-32336100] |
[a1,a2,a3,a4,a6] |
Generators |
[510:10800:1] |
Generators of the group modulo torsion |
j |
31569941084/3765234375 |
j-invariant |
L |
4.601598293332 |
L(r)(E,1)/r! |
Ω |
0.14048927375704 |
Real period |
R |
2.047130605415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bt4 |
Quadratic twists by: -7 |