Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486m |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-14623248654 = -1 · 2 · 310 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -4 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1008,13878] |
[a1,a2,a3,a4,a6] |
Generators |
[21:30:1] |
Generators of the group modulo torsion |
j |
-430638553/55566 |
j-invariant |
L |
4.7710327089986 |
L(r)(E,1)/r! |
Ω |
1.2108705321596 |
Real period |
R |
0.98504187323907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162be1 45486bd1 |
Quadratic twists by: -3 -19 |