Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550u |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
10427200 = 26 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61,88] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-34:1] |
Generators of the group modulo torsion |
j |
2858935/1216 |
j-invariant |
L |
4.8039145214437 |
L(r)(E,1)/r! |
Ω |
2.0626533657694 |
Real period |
R |
0.5822493736915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550dg1 46550l1 |
Quadratic twists by: 5 -7 |