Atkin-Lehner |
3- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31815k |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-269626500008578125 = -1 · 320 · 56 · 72 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-353957,-84728086] |
[a1,a2,a3,a4,a6] |
Generators |
[822:12976:1] |
Generators of the group modulo torsion |
j |
-6727389145232377609/369858024703125 |
j-invariant |
L |
3.3318233127602 |
L(r)(E,1)/r! |
Ω |
0.097554392934307 |
Real period |
R |
2.8461244478964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605e2 |
Quadratic twists by: -3 |