Atkin-Lehner |
3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64239h |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-36423513 = -1 · 35 · 73 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -2 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[6:0:1] |
Generators of the group modulo torsion |
j |
68921/106191 |
j-invariant |
L |
2.77980876902 |
L(r)(E,1)/r! |
Ω |
0.95698161333907 |
Real period |
R |
1.4523835836426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239j1 |
Quadratic twists by: -7 |