Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dy |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-118806331392 = -1 · 214 · 36 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1440,-26784] |
[a1,a2,a3,a4,a6] |
j |
-27648000/9947 |
j-invariant |
L |
1.1419210043424 |
L(r)(E,1)/r! |
Ω |
0.38064025110411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928u1 29232bt1 12992bm1 |
Quadratic twists by: -4 8 -3 |