Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618p |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
226800 |
Modular degree for the optimal curve |
Δ |
-30747400078122 = -1 · 2 · 33 · 72 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,906,-266202] |
[a1,a2,a3,a4,a6] |
j |
1675571711303/627497960778 |
j-invariant |
L |
2.1663603173971 |
L(r)(E,1)/r! |
Ω |
0.30948004663406 |
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 |
72618u1 |
Quadratic twists by: -7 |