Atkin-Lehner |
3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325bd |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15820633137882375 = 316 · 53 · 113 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330147,-72680814] |
[a1,a2,a3,a4,a6] |
Generators |
[-320210:515213:1000] |
Generators of the group modulo torsion |
j |
43672592817213893/173614629771 |
j-invariant |
L |
7.7935659163526 |
L(r)(E,1)/r! |
Ω |
0.19921704995348 |
Real period |
R |
9.7802445988385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775s2 116325be2 |
Quadratic twists by: -3 5 |