Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
89540d |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-63036160 = -1 · 28 · 5 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,321] |
[a1,a2,a3,a4,a6] |
Generators |
[15:66:1] |
Generators of the group modulo torsion |
j |
65536/185 |
j-invariant |
L |
7.6371270216232 |
L(r)(E,1)/r! |
Ω |
1.3816368461588 |
Real period |
R |
0.92126560388219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89540c1 |
Quadratic twists by: -11 |