Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
17640m |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-33606316800 = -1 · 28 · 37 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,10388] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:90:1] [-14:126:1] |
Generators of the group modulo torsion |
j |
-50176/75 |
j-invariant |
L |
6.6356865148312 |
L(r)(E,1)/r! |
Ω |
1.0471039927871 |
Real period |
R |
0.066012292003113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280y1 5880w1 88200fv1 17640bj1 |
Quadratic twists by: -4 -3 5 -7 |