Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640co |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2700507600 = 24 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-462,-2891] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:27:1] |
Generators of the group modulo torsion |
j |
2725888/675 |
j-invariant |
L |
5.4691551610776 |
L(r)(E,1)/r! |
Ω |
1.0484280051845 |
Real period |
R |
0.65206613306214 |
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 |
35280ce1 5880j1 88200bv1 17640bz1 |
Quadratic twists by: -4 -3 5 -7 |