Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008t |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-480748032 = -1 · 29 · 32 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312,2268] |
[a1,a2,a3,a4,a6] |
Generators |
[47:306:1] |
Generators of the group modulo torsion |
j |
-6581255624/938961 |
j-invariant |
L |
8.0119112833192 |
L(r)(E,1)/r! |
Ω |
1.6054361391671 |
Real period |
R |
2.4952444659293 |
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 |
31008b2 62016l2 93024p2 |
Quadratic twists by: -4 8 -3 |