Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990be |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
551936 |
Modular degree for the optimal curve |
Δ |
-130351848480000000 = -1 · 211 · 313 · 57 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,118026,-7656332] |
[a1,a2,a3,a4,a6] |
Generators |
[557:14909:1] |
Generators of the group modulo torsion |
j |
249417648451454111/178809120000000 |
j-invariant |
L |
4.4491589920096 |
L(r)(E,1)/r! |
Ω |
0.1851589466174 |
Real period |
R |
0.8581736844571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330t1 |
Quadratic twists by: -3 |