Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067k |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
503496 |
Modular degree for the optimal curve |
Δ |
-2007145677710187 = -1 · 39 · 710 · 192 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- -2 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-380158,-90117378] |
[a1,a2,a3,a4,a6] |
Generators |
[781031515:20520719189:704969] |
Generators of the group modulo torsion |
j |
-59584000000/19683 |
j-invariant |
L |
1.5636800855313 |
L(r)(E,1)/r! |
Ω |
0.096132408703015 |
Real period |
R |
16.265899363008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53067l1 53067o1 |
Quadratic twists by: -7 -19 |