Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086f |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.2684945237069E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2837771676,-58184713441008] |
[a1,a2,a3,a4,a6] |
Generators |
[-1747365549608095644142740888853417549544176336629:731823038490621009289776991867789426348865938797:56799325444676832426693467498969132596317439] |
Generators of the group modulo torsion |
j |
3906235026100294102657/968870113344 |
j-invariant |
L |
5.8876899344987 |
L(r)(E,1)/r! |
Ω |
0.020684984448451 |
Real period |
R |
71.158984300562 |
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 |
40362bd4 3906h4 |
Quadratic twists by: -3 -31 |