Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350fq |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1317120 |
Modular degree for the optimal curve |
Δ |
16182378450000000 = 27 · 313 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-609305,183112697] |
[a1,a2,a3,a4,a6] |
Generators |
[435:268:1] |
Generators of the group modulo torsion |
j |
87849583509865/56827008 |
j-invariant |
L |
12.146292852727 |
L(r)(E,1)/r! |
Ω |
0.38758092397674 |
Real period |
R |
1.1192402571651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450br1 91350bd1 |
Quadratic twists by: -3 5 |