Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640h |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
6.80967118125E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26818827,-53309753546] |
[a1,a2,a3,a4,a6] |
Generators |
[-3097:6600:1] |
Generators of the group modulo torsion |
j |
1912039973861076/6103515625 |
j-invariant |
L |
5.5410719280289 |
L(r)(E,1)/r! |
Ω |
0.066354893813907 |
Real period |
R |
2.9823787610305 |
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 |
35280p2 17640bo2 88200en2 17640b2 |
Quadratic twists by: -4 -3 5 -7 |