Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bi |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
28715988955176432 = 24 · 36 · 79 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4942852,-4230151726] |
[a1,a2,a3,a4,a6] |
Generators |
[-1283:719:1] |
Generators of the group modulo torsion |
j |
330958886277458431/711608976 |
j-invariant |
L |
4.2809684547715 |
L(r)(E,1)/r! |
Ω |
0.10125237513562 |
Real period |
R |
1.761674087919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618e2 |
Quadratic twists by: -7 |