Atkin-Lehner |
2- 3- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270bb |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
930816 |
Modular degree for the optimal curve |
Δ |
14263630402500 = 22 · 39 · 54 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1467302,-683745199] |
[a1,a2,a3,a4,a6] |
Generators |
[11523834:705617051:2744] |
Generators of the group modulo torsion |
j |
479241517683532341529/19566022500 |
j-invariant |
L |
11.681902048558 |
L(r)(E,1)/r! |
Ω |
0.13717333627109 |
Real period |
R |
10.645201131568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30090d1 |
Quadratic twists by: -3 |