Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cp |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
242066299910400 = 28 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61887,-5878334] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:216:1] |
Generators of the group modulo torsion |
j |
1193895376/11025 |
j-invariant |
L |
5.3675786072358 |
L(r)(E,1)/r! |
Ω |
0.30285987938799 |
Real period |
R |
2.2153720963645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280cf2 5880k2 88200bt2 2520o2 |
Quadratic twists by: -4 -3 5 -7 |