Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550cr |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
249480 |
Modular degree for the optimal curve |
Δ |
-342285059375000 = -1 · 23 · 58 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 6 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11612,-747608] |
[a1,a2,a3,a4,a6] |
j |
76895/152 |
j-invariant |
L |
7.6064952560754 |
L(r)(E,1)/r! |
Ω |
0.28172204652581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46550d1 46550cx1 |
Quadratic twists by: 5 -7 |