Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cg |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.4232000447555E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16763071,-128401427487] |
[a1,a2,a3,a4,a6] |
Generators |
[83865287168029816431112:54458400501037214248974057:198909776482212419] |
Generators of the group modulo torsion |
j |
1987213448872952062127/28317260912916156192 |
j-invariant |
L |
5.2921394250586 |
L(r)(E,1)/r! |
Ω |
0.036371086782127 |
Real period |
R |
36.376004644547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000261148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608br3 31152bd3 |
Quadratic twists by: -4 8 |