Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120bz |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
7734701850624000 = 222 · 36 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-838600,-295274000] |
[a1,a2,a3,a4,a6] |
j |
15923145232068467401/1888354944000 |
j-invariant |
L |
0.94659698608682 |
L(r)(E,1)/r! |
Ω |
0.15776617178855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390k1 |
Quadratic twists by: -4 |