Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bi |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1021483104768 = 29 · 37 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3099,-45218] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:985:8] |
Generators of the group modulo torsion |
j |
8818423496/2736741 |
j-invariant |
L |
7.0764596931386 |
L(r)(E,1)/r! |
Ω |
0.65540865632667 |
Real period |
R |
5.3985094832289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bq3 76608el4 12768h3 |
Quadratic twists by: -4 8 -3 |