Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800h |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
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 |
[57603:2642608:27] |
Generators of the group modulo torsion |
j |
-19450850/529 |
j-invariant |
L |
4.6538644551224 |
L(r)(E,1)/r! |
Ω |
0.15175302799116 |
Real period |
R |
7.6668395298741 |
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 |
36800ct1 4600c1 36800bq1 |
Quadratic twists by: -4 8 5 |