Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bl |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2939328 |
Modular degree for the optimal curve |
Δ |
-2.5339795891914E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,634451,-144034717] |
[a1,a2,a3,a4,a6] |
Generators |
[1303:53172:1] |
Generators of the group modulo torsion |
j |
240065464752030527/215384711233536 |
j-invariant |
L |
9.4867828577647 |
L(r)(E,1)/r! |
Ω |
0.11646584689161 |
Real period |
R |
4.5253051095829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482l1 |
Quadratic twists by: -7 |