Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640by |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-247109347825200 = -1 · 24 · 37 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3822,-750827] |
[a1,a2,a3,a4,a6] |
j |
4499456/180075 |
j-invariant |
L |
2.1320557268522 |
L(r)(E,1)/r! |
Ω |
0.26650696585652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280z1 5880l1 88200bw1 2520t1 |
Quadratic twists by: -4 -3 5 -7 |