Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bw |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.0086715340521E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22308704,-26261644060] |
[a1,a2,a3,a4,a6] |
Generators |
[43640:9168390:1] |
Generators of the group modulo torsion |
j |
10191978981888338876/8372623608979245 |
j-invariant |
L |
7.3516893506237 |
L(r)(E,1)/r! |
Ω |
0.048592635663716 |
Real period |
R |
1.57596095177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000137468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bl3 18480o4 |
Quadratic twists by: -4 -7 |