Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bv |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-6880302000 = -1 · 24 · 37 · 53 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,2225] |
[a1,a2,a3,a4,a6] |
Generators |
[4:63:1] |
Generators of the group modulo torsion |
j |
5619712/4719 |
j-invariant |
L |
8.6564071701152 |
L(r)(E,1)/r! |
Ω |
0.86135814703915 |
Real period |
R |
1.6749531331081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900v1 128700bo1 |
Quadratic twists by: -3 5 |