Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800cn |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-205962976000000000 = -1 · 214 · 59 · 235 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -6 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,146800,2844000] |
[a1,a2,a3,a4,a6] |
Generators |
[2290:66125:8] |
Generators of the group modulo torsion |
j |
1366664500224/804542875 |
j-invariant |
L |
4.4450716321952 |
L(r)(E,1)/r! |
Ω |
0.19247949848699 |
Real period |
R |
1.1546870360573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800c1 9200d1 7360p1 |
Quadratic twists by: -4 8 5 |