Atkin-Lehner |
3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20181b |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-135757587 = -1 · 3 · 72 · 314 |
Discriminant |
Eigenvalues |
0 3+ 4 7+ 4 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1281,-17236] |
[a1,a2,a3,a4,a6] |
Generators |
[52:232:1] |
Generators of the group modulo torsion |
j |
-251920384/147 |
j-invariant |
L |
4.7684526713286 |
L(r)(E,1)/r! |
Ω |
0.3989687025833 |
Real period |
R |
1.9919911179553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60543d1 20181k1 |
Quadratic twists by: -3 -31 |