Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cb |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
659603865600 = 214 · 36 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2225,11025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:105:1] |
Generators of the group modulo torsion |
j |
74385620944/40259025 |
j-invariant |
L |
4.8991568927066 |
L(r)(E,1)/r! |
Ω |
0.79332723944962 |
Real period |
R |
3.087727641935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45120bn2 11280f2 |
Quadratic twists by: -4 8 |