Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dg |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2071552 = -1 · 210 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[148104:809019:4913] |
Generators of the group modulo torsion |
j |
4352/7 |
j-invariant |
L |
12.603586328596 |
L(r)(E,1)/r! |
Ω |
1.3780814413063 |
Real period |
R |
9.1457485663828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472m1 32368be1 129472cr1 |
Quadratic twists by: -4 8 17 |