Atkin-Lehner |
3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655f |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.2443756055693E+21 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11+ 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7907964,9731466395] |
[a1,a2,a3,a4,a6] |
Generators |
[2039196281102:706019146474289:8036054027] |
Generators of the group modulo torsion |
j |
-262021139199/44289025 |
j-invariant |
L |
8.5549247999618 |
L(r)(E,1)/r! |
Ω |
0.12492941012032 |
Real period |
R |
17.119517328556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655c2 83655d2 |
Quadratic twists by: -3 13 |