Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bt |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-131953296384 = -1 · 210 · 32 · 73 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-806,19235] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-581:1] |
Generators of the group modulo torsion |
j |
-168837298183/384703488 |
j-invariant |
L |
8.3262005197733 |
L(r)(E,1)/r! |
Ω |
0.92200753564501 |
Real period |
R |
0.075254270330108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618ca1 |
Quadratic twists by: -7 |