Atkin-Lehner |
3+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249c |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1718018870413923 = -1 · 324 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21371,1599782] |
[a1,a2,a3,a4,a6] |
j |
1079436191241232943/1718018870413923 |
j-invariant |
L |
0.64360458973885 |
L(r)(E,1)/r! |
Ω |
0.32180229486943 |
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 |
54747c3 127743bh3 |
Quadratic twists by: -3 -7 |