Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530m |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1909620056250000 = 24 · 39 · 58 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86085,-9470075] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:419:1] |
Generators of the group modulo torsion |
j |
96779076365428561/2619506250000 |
j-invariant |
L |
1.9110447118468 |
L(r)(E,1)/r! |
Ω |
0.27918054573055 |
Real period |
R |
1.7112982443199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510n1 |
Quadratic twists by: -3 |