Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14352ba |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-185704316928 = -1 · 216 · 36 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,720,-19116] |
[a1,a2,a3,a4,a6] |
Generators |
[36:234:1] |
Generators of the group modulo torsion |
j |
10063705679/45337968 |
j-invariant |
L |
3.7220232304873 |
L(r)(E,1)/r! |
Ω |
0.51010557915372 |
Real period |
R |
0.60804785365254 |
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 |
1794h1 57408cp1 43056bg1 |
Quadratic twists by: -4 8 -3 |