Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618cd |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4220456930508 = -1 · 22 · 3 · 78 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1371,97005] |
[a1,a2,a3,a4,a6] |
j |
2422300607/35873292 |
j-invariant |
L |
4.6241175309205 |
L(r)(E,1)/r! |
Ω |
0.57801469438467 |
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 |
10374i2 |
Quadratic twists by: -7 |