Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640t |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
162097968690000 = 24 · 39 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31458,-2058343] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:245:1] |
Generators of the group modulo torsion |
j |
2508888064/118125 |
j-invariant |
L |
5.3610296886322 |
L(r)(E,1)/r! |
Ω |
0.35952735183917 |
Real period |
R |
1.8639157984809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280bs1 5880z1 88200gw1 2520h1 |
Quadratic twists by: -4 -3 5 -7 |