Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
17640l |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2634240 |
Modular degree for the optimal curve |
Δ |
-3.2160989122671E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3697197,-86239122802] |
[a1,a2,a3,a4,a6] |
j |
649381163998/373669453125 |
j-invariant |
L |
1.8622376765016 |
L(r)(E,1)/r! |
Ω |
0.037244753530033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280x1 5880v1 88200fn1 17640bc1 |
Quadratic twists by: -4 -3 5 -7 |