Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984v |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
632152115693568 = 211 · 38 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1248699,537073418] |
[a1,a2,a3,a4,a6] |
Generators |
[38671:7601490:1] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
7.8278171132995 |
L(r)(E,1)/r! |
Ω |
0.44656617817663 |
Real period |
R |
8.7644536194085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25992bc6 17328f5 144b5 |
Quadratic twists by: -4 -3 -19 |