Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650bd |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
Δ |
49818240000000 = 213 · 34 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5461188,4909955781] |
[a1,a2,a3,a4,a6] |
Generators |
[1405:-4303:1] |
Generators of the group modulo torsion |
j |
1152829477932246539641/3188367360 |
j-invariant |
L |
4.3083236180891 |
L(r)(E,1)/r! |
Ω |
0.4183152280653 |
Real period |
R |
0.39612412703279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200cx2 13950bd2 930j2 |
Quadratic twists by: -4 -3 5 |