Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928d |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60751253864448 = 219 · 39 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127980,-17618256] |
[a1,a2,a3,a4,a6] |
Generators |
[18097975:-920605283:6859] |
Generators of the group modulo torsion |
j |
44928178875/11774 |
j-invariant |
L |
6.988066798514 |
L(r)(E,1)/r! |
Ω |
0.25241831197006 |
Real period |
R |
13.84223427237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928da2 3654o2 116928i2 |
Quadratic twists by: -4 8 -3 |