Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552z |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8063613960192 = -1 · 215 · 36 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-897,137313] |
[a1,a2,a3,a4,a6] |
Generators |
[43:420:1] |
Generators of the group modulo torsion |
j |
-2438569736/246081969 |
j-invariant |
L |
6.8818398379509 |
L(r)(E,1)/r! |
Ω |
0.60641933469014 |
Real period |
R |
2.8370796443015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552bc2 55776i2 |
Quadratic twists by: -4 8 |