Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gn |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.688950063104E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3908500,2079250000] |
[a1,a2,a3,a4,a6] |
Generators |
[2942082:216543488:2197] |
Generators of the group modulo torsion |
j |
12896863402851/11111230592 |
j-invariant |
L |
6.2343613135324 |
L(r)(E,1)/r! |
Ω |
0.08775130460498 |
Real period |
R |
8.8807244460434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dl2 30800ci2 123200hk2 |
Quadratic twists by: -4 8 5 |