Atkin-Lehner |
2+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954m |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-33382211044 = -1 · 22 · 7 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,8790] |
[a1,a2,a3,a4,a6] |
Generators |
[27:155:1] |
Generators of the group modulo torsion |
j |
-1/6916 |
j-invariant |
L |
1.7825281787381 |
L(r)(E,1)/r! |
Ω |
0.92673924066487 |
Real period |
R |
0.24043011514463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458d1 |
Quadratic twists by: 13 |