Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648x |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-694877294592 = -1 · 212 · 310 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-40480] |
[a1,a2,a3,a4,a6] |
Generators |
[365:6955:1] |
Generators of the group modulo torsion |
j |
-7529536/232713 |
j-invariant |
L |
7.367603050246 |
L(r)(E,1)/r! |
Ω |
0.39372748749103 |
Real period |
R |
4.6781106754356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648n2 127296p1 21216c2 |
Quadratic twists by: -4 8 -3 |