Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800cg |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-597780000000000 = -1 · 211 · 36 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1276875,-555356250] |
[a1,a2,a3,a4,a6] |
Generators |
[3759168356650348166763889758:111883471307470188825843571722:2113041367743070623577993] |
Generators of the group modulo torsion |
j |
-15791062050/41 |
j-invariant |
L |
6.2544249326243 |
L(r)(E,1)/r! |
Ω |
0.071012106439781 |
Real period |
R |
44.037736987341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8200d1 73800bg1 |
Quadratic twists by: -3 5 |