Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550z |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
41621863220000 = 25 · 54 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144167,21102941] |
[a1,a2,a3,a4,a6] |
Generators |
[265:1074:1] |
Generators of the group modulo torsion |
j |
91972640025/11552 |
j-invariant |
L |
4.2121679589889 |
L(r)(E,1)/r! |
Ω |
0.61962881738058 |
Real period |
R |
3.3989445300375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550br1 46550bc1 |
Quadratic twists by: 5 -7 |