Atkin-Lehner |
2- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954y |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-153598148214784 = -1 · 220 · 74 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -6 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21746,1368964] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-586:1] [-158:1010:1] |
Generators of the group modulo torsion |
j |
-6729400975878841/908864782336 |
j-invariant |
L |
9.2559956803052 |
L(r)(E,1)/r! |
Ω |
0.5591021872587 |
Real period |
R |
0.10346940920683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954b1 |
Quadratic twists by: 13 |