Atkin-Lehner |
3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655f |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
1389087243511541145 = 39 · 5 · 113 · 139 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11+ 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8204559,9047340368] |
[a1,a2,a3,a4,a6] |
Generators |
[2583675748586782981616:-16415046199344609499560:1434062345001783769] |
Generators of the group modulo torsion |
j |
292622695119/6655 |
j-invariant |
L |
8.5549247999618 |
L(r)(E,1)/r! |
Ω |
0.24985882024064 |
Real period |
R |
34.239034657112 |
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 |
83655c1 83655d1 |
Quadratic twists by: -3 13 |