Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bm |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-62259850800 = -1 · 24 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,882,6517] |
[a1,a2,a3,a4,a6] |
Generators |
[14:147:1] |
Generators of the group modulo torsion |
j |
1492992/1225 |
j-invariant |
L |
5.0091256137702 |
L(r)(E,1)/r! |
Ω |
0.71508351825324 |
Real period |
R |
0.87561898119365 |
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 |
35280f1 17640j1 88200g1 2520n1 |
Quadratic twists by: -4 -3 5 -7 |