Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cr |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5840234773283176448 = -1 · 215 · 75 · 139 |
Discriminant |
Eigenvalues |
2- -1 0 7- -1 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,427007,-44690335] |
[a1,a2,a3,a4,a6] |
Generators |
[269:9464:1] |
Generators of the group modulo torsion |
j |
54439939000/36924979 |
j-invariant |
L |
5.3528066028997 |
L(r)(E,1)/r! |
Ω |
0.13596864232603 |
Real period |
R |
0.98419872995118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712bw1 37856p1 5824r1 |
Quadratic twists by: -4 8 13 |