Atkin-Lehner |
2+ 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618u |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1587600 |
Modular degree for the optimal curve |
Δ |
-3617400871790975178 = -1 · 2 · 33 · 78 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44368,91440416] |
[a1,a2,a3,a4,a6] |
j |
1675571711303/627497960778 |
j-invariant |
L |
0.58117315520249 |
L(r)(E,1)/r! |
Ω |
0.19372438422824 |
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 |
72618p1 |
Quadratic twists by: -7 |