Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650o |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
300081250000 = 24 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2201,29548] |
[a1,a2,a3,a4,a6] |
j |
3016755625/768208 |
j-invariant |
L |
1.8184832604809 |
L(r)(E,1)/r! |
Ω |
0.90924163024044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53200dc1 59850gq1 6650u1 46550bg1 |
Quadratic twists by: -4 -3 5 -7 |