Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
72828bb |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
9112906296684288 = 28 · 36 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73695,-6180554] |
[a1,a2,a3,a4,a6] |
Generators |
[1669995234:12709876670:5000211] |
Generators of the group modulo torsion |
j |
34000/7 |
j-invariant |
L |
4.8399307221347 |
L(r)(E,1)/r! |
Ω |
0.29395715962958 |
Real period |
R |
16.464748562225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092g1 72828k1 |
Quadratic twists by: -3 17 |