Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450dd |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1529856 |
Modular degree for the optimal curve |
Δ |
100454473728000 = 216 · 39 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1276918,555276452] |
[a1,a2,a3,a4,a6] |
Generators |
[332:12794:1] |
Generators of the group modulo torsion |
j |
1842055654145370850997/803635789824 |
j-invariant |
L |
13.062397631453 |
L(r)(E,1)/r! |
Ω |
0.48717138536207 |
Real period |
R |
0.37239910820427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93450m1 |
Quadratic twists by: 5 |