Atkin-Lehner |
2+ 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318j |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-75913426907208 = -1 · 23 · 32 · 112 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-672,-419306] |
[a1,a2,a3,a4,a6] |
Generators |
[82:239:1] |
Generators of the group modulo torsion |
j |
-33489000393337/75913426907208 |
j-invariant |
L |
4.5083729406827 |
L(r)(E,1)/r! |
Ω |
0.27728370343974 |
Real period |
R |
1.3549218378012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954y2 |
Quadratic twists by: -3 |