Atkin-Lehner |
3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705l |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
506601108489675 = 3 · 52 · 176 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118785,-15769860] |
[a1,a2,a3,a4,a6] |
Generators |
[443:4113:1] |
Generators of the group modulo torsion |
j |
7679186557489/20988075 |
j-invariant |
L |
2.908606247791 |
L(r)(E,1)/r! |
Ω |
0.25720563385742 |
Real period |
R |
2.827121431594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345d3 |
Quadratic twists by: 17 |