Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bp |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-17139874332672 = -1 · 216 · 32 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1912,-202567] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/145686528 |
j-invariant |
L |
4.792232746635 |
L(r)(E,1)/r! |
Ω |
0.29951454866079 |
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 |
1482j1 |
Quadratic twists by: -7 |