Atkin-Lehner |
3+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22755c |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53081568031640625 = 310 · 58 · 372 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2075653,1150095232] |
[a1,a2,a3,a4,a6] |
Generators |
[7601353800:44753072203:8000000] |
Generators of the group modulo torsion |
j |
988981786551418847016409/53081568031640625 |
j-invariant |
L |
4.9270128533991 |
L(r)(E,1)/r! |
Ω |
0.33511667786425 |
Real period |
R |
14.70238033153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68265l2 113775k2 |
Quadratic twists by: -3 5 |