Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cc |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-889593652170720000 = -1 · 28 · 39 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35121828,80115002548] |
[a1,a2,a3,a4,a6] |
j |
-90888126966784/16875 |
j-invariant |
L |
1.7692952379482 |
L(r)(E,1)/r! |
Ω |
0.22116190474352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280bi1 5880m1 88200cf1 17640ck1 |
Quadratic twists by: -4 -3 5 -7 |