Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650bh |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-112995000 = -1 · 23 · 36 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87,-369] |
[a1,a2,a3,a4,a6] |
Generators |
[25:122:1] |
Generators of the group modulo torsion |
j |
116436575/180792 |
j-invariant |
L |
4.4802813199875 |
L(r)(E,1)/r! |
Ω |
0.98944884120877 |
Real period |
R |
0.25155875413731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200dz1 13950bl1 4650p1 |
Quadratic twists by: -4 -3 5 |