Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cc |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
101787033600 = 213 · 32 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3680,-83328] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:14:1] |
Generators of the group modulo torsion |
j |
1345938541921/24850350 |
j-invariant |
L |
5.7965446010132 |
L(r)(E,1)/r! |
Ω |
0.6136413234119 |
Real period |
R |
1.1807680602377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bg2 115920dk2 |
Quadratic twists by: -4 -3 |