Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260k |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21934080 |
Modular degree for the optimal curve |
Δ |
-1.5705702950068E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89634192,-506822949452] |
[a1,a2,a3,a4,a6] |
Generators |
[4950363734059243564991863238944700191223:13506276369569294672311337535839238986908059:665029283203458447922004792965291] |
Generators of the group modulo torsion |
j |
426753746270989906018304/841569302451324128715 |
j-invariant |
L |
3.9150925689772 |
L(r)(E,1)/r! |
Ω |
0.030065276775881 |
Real period |
R |
65.109870734966 |
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 |
24420s1 |
Quadratic twists by: -3 |