Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bj |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-3953749565203200 = -1 · 28 · 37 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,-3563084] |
[a1,a2,a3,a4,a6] |
j |
-50176/75 |
j-invariant |
L |
2.7832541290377 |
L(r)(E,1)/r! |
Ω |
0.17395338306486 |
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 |
35280co1 5880be1 88200he1 17640m1 |
Quadratic twists by: -4 -3 5 -7 |