Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304w |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
369733496832 = 212 · 36 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16236,795744] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1008:1] [90:-252:1] |
Generators of the group modulo torsion |
j |
158516094528/123823 |
j-invariant |
L |
8.2287757900531 |
L(r)(E,1)/r! |
Ω |
0.94659735609033 |
Real period |
R |
0.36220855225607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bj2 76608cf1 4256b2 |
Quadratic twists by: -4 8 -3 |