Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618cg |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.0080070903063E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1967498,814404240] |
[a1,a2,a3,a4,a6] |
Generators |
[64:26212:1] |
Generators of the group modulo torsion |
j |
20872970748220375/4976028760716 |
j-invariant |
L |
12.262517703936 |
L(r)(E,1)/r! |
Ω |
0.16776913667962 |
Real period |
R |
2.0303227308289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618bm2 |
Quadratic twists by: -7 |