Atkin-Lehner |
3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005q |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
68608 |
Modular degree for the optimal curve |
Δ |
-14581727245215 = -1 · 37 · 5 · 132 · 534 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7952,330986] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:801:1] |
Generators of the group modulo torsion |
j |
-76273573823929/20002369335 |
j-invariant |
L |
4.8167563187285 |
L(r)(E,1)/r! |
Ω |
0.66795111521161 |
Real period |
R |
3.6056203882546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10335f1 |
Quadratic twists by: -3 |