Atkin-Lehner |
2- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
89540k |
Isogeny class |
Conductor |
89540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-716320000 = -1 · 28 · 54 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1727,27654] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-10:1] |
Generators of the group modulo torsion |
j |
-18389731536/23125 |
j-invariant |
L |
4.5828077247816 |
L(r)(E,1)/r! |
Ω |
1.6013924535233 |
Real period |
R |
0.23848035676686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89540j1 |
Quadratic twists by: -11 |