Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720j |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3845294208000 = -1 · 210 · 36 · 53 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,840,93600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:290:1] |
Generators of the group modulo torsion |
j |
63935857436/3755170125 |
j-invariant |
L |
5.9002487436581 |
L(r)(E,1)/r! |
Ω |
0.59759381660994 |
Real period |
R |
0.82277858578716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360m2 |
Quadratic twists by: -4 |