Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658bn |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-15662376072 = -1 · 23 · 32 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 1 -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,413,-5047] |
[a1,a2,a3,a4,a6] |
Generators |
[56:413:1] |
Generators of the group modulo torsion |
j |
4212803783/8470728 |
j-invariant |
L |
14.543809038422 |
L(r)(E,1)/r! |
Ω |
0.64727784894737 |
Real period |
R |
0.62414416952302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658c1 |
Quadratic twists by: -43 |