Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648r |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-69578559792 = -1 · 24 · 33 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1026,-1027] |
[a1,a2,a3,a4,a6] |
j |
276491667456/161061481 |
j-invariant |
L |
2.5915811624872 |
L(r)(E,1)/r! |
Ω |
0.64789529062181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296c1 18648b1 |
Quadratic twists by: -4 -3 |