Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600y |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1050853500000000 = -1 · 28 · 37 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18825,1201750] |
[a1,a2,a3,a4,a6] |
j |
253012016/360375 |
j-invariant |
L |
2.6630499829077 |
L(r)(E,1)/r! |
Ω |
0.33288123284782 |
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 |
55800u1 37200r1 22320p1 |
Quadratic twists by: -4 -3 5 |