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 |
2.2784644806431E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2191278,1014652107] |
[a1,a2,a3,a4,a6] |
Generators |
[-4588:2192719:64] |
Generators of the group modulo torsion |
j |
1163634147476042127666409/227846448064314973125 |
j-invariant |
L |
4.9270128533991 |
L(r)(E,1)/r! |
Ω |
0.16755833893213 |
Real period |
R |
7.351190165765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68265l3 113775k3 |
Quadratic twists by: -3 5 |