Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640s |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
180531025920 = 211 · 32 · 5 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13616,-615756] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:18:1] |
Generators of the group modulo torsion |
j |
136324616160098/88149915 |
j-invariant |
L |
6.6847485013425 |
L(r)(E,1)/r! |
Ω |
0.44197872759193 |
Real period |
R |
1.8905741622914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320o3 115920bk4 |
Quadratic twists by: -4 -3 |