Atkin-Lehner |
2- 3- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
48618h |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
22301361451695168 = 26 · 320 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209084,-36037825] |
[a1,a2,a3,a4,a6] |
j |
1386617370988747897/30591716668992 |
j-invariant |
L |
2.6827725353414 |
L(r)(E,1)/r! |
Ω |
0.22356437798565 |
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 |
16206f2 |
Quadratic twists by: -3 |