Atkin-Lehner |
2+ 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440f |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
145836836000000 = 28 · 56 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26807,1586294] |
[a1,a2,a3,a4,a6] |
j |
8322012999335376/569675140625 |
j-invariant |
L |
3.4122712487661 |
L(r)(E,1)/r! |
Ω |
0.56871186949265 |
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 |
37720h1 |
Quadratic twists by: -4 |