Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950l |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
1327200 = 25 · 3 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35,45] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
198259105/53088 |
j-invariant |
L |
4.2346340689469 |
L(r)(E,1)/r! |
Ω |
2.5332398012131 |
Real period |
R |
1.6716277984426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950cw1 |
Quadratic twists by: 5 |