Atkin-Lehner |
3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585a |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-626206065615 = -1 · 33 · 5 · 136 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1271,41348] |
[a1,a2,a3,a4,a6] |
Generators |
[74:562:1] |
Generators of the group modulo torsion |
j |
-47045881/129735 |
j-invariant |
L |
3.6452757799374 |
L(r)(E,1)/r! |
Ω |
0.80516561333226 |
Real period |
R |
4.5273614765326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
465a1 |
Quadratic twists by: 13 |