Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450d |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-56960000000 = -1 · 213 · 57 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 3 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,308,11216] |
[a1,a2,a3,a4,a6] |
j |
206425071/3645440 |
j-invariant |
L |
3.3231847447394 |
L(r)(E,1)/r! |
Ω |
0.83079618618486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600bh1 40050z1 890f1 |
Quadratic twists by: -4 -3 5 |