Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800k |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-1332775296000 = -1 · 210 · 39 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8235,-292950] |
[a1,a2,a3,a4,a6] |
Generators |
[115:530:1] |
Generators of the group modulo torsion |
j |
-24513948/529 |
j-invariant |
L |
7.2551363056862 |
L(r)(E,1)/r! |
Ω |
0.25026428282512 |
Real period |
R |
3.6237373867869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400f1 82800j1 82800i1 |
Quadratic twists by: -4 -3 5 |