Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51800p |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1036000000 = -1 · 28 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,-1500] |
[a1,a2,a3,a4,a6] |
j |
27648/259 |
j-invariant |
L |
1.5392362377226 |
L(r)(E,1)/r! |
Ω |
0.769618118579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600d1 2072b1 |
Quadratic twists by: -4 5 |