Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800ct |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-677120000000000 = -1 · 217 · 510 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 3 -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60833,5929537] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-368:1] |
Generators of the group modulo torsion |
j |
-19450850/529 |
j-invariant |
L |
5.4493845377376 |
L(r)(E,1)/r! |
Ω |
0.50875764828205 |
Real period |
R |
1.3388949915887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800h1 9200g1 36800df1 |
Quadratic twists by: -4 8 5 |