Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30438q |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
421596738 = 2 · 38 · 192 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8555,-302407] |
[a1,a2,a3,a4,a6] |
j |
94974853515625/578322 |
j-invariant |
L |
3.9713545657648 |
L(r)(E,1)/r! |
Ω |
0.4964193207206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146g2 |
Quadratic twists by: -3 |