Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585bb |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
79333661925 = 36 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 5 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2352,41760] |
[a1,a2,a3,a4,a6] |
Generators |
[18:72:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
5.7438377885717 |
L(r)(E,1)/r! |
Ω |
1.0689123030665 |
Real period |
R |
2.6867675531694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9065b1 1665d1 |
Quadratic twists by: -3 -7 |