Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775k |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
8.2939950049438E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51891338,143865686667] |
[a1,a2,a3,a4,a6] |
Generators |
[27206:642647:8] |
Generators of the group modulo torsion |
j |
988981786551418847016409/53081568031640625 |
j-invariant |
L |
4.8433441985905 |
L(r)(E,1)/r! |
Ω |
0.14986873441967 |
Real period |
R |
3.2317242181265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026738 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22755c2 |
Quadratic twists by: 5 |