Atkin-Lehner |
2+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150d |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-76441750000 = -1 · 24 · 56 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,949,-7002] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-254:1] [18:117:1] |
Generators of the group modulo torsion |
j |
6058428767/4892272 |
j-invariant |
L |
5.325564062425 |
L(r)(E,1)/r! |
Ω |
0.60355616053892 |
Real period |
R |
2.2059107381585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2926b1 |
Quadratic twists by: 5 |