Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bx |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-637209332619116544 = -1 · 215 · 310 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2222017,1276198945] |
[a1,a2,a3,a4,a6] |
Generators |
[22845:28880:27] |
Generators of the group modulo torsion |
j |
-37026793537101341576/19446085590183 |
j-invariant |
L |
5.5604762222052 |
L(r)(E,1)/r! |
Ω |
0.28456687830185 |
Real period |
R |
3.2566897544948 |
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 |
25536dd2 12768x2 76608ej2 |
Quadratic twists by: -4 8 -3 |