Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530i |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60024607031250 = 2 · 37 · 58 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10117845,12389929371] |
[a1,a2,a3,a4,a6] |
Generators |
[876099:-19858362:343] |
Generators of the group modulo torsion |
j |
157130420902139847946321/82338281250 |
j-invariant |
L |
5.0135602971831 |
L(r)(E,1)/r! |
Ω |
0.3809649503207 |
Real period |
R |
6.5800807835745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510u6 |
Quadratic twists by: -3 |