Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928d |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-29328191520768 = -1 · 220 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,-345168] |
[a1,a2,a3,a4,a6] |
Generators |
[2629:134729:1] |
Generators of the group modulo torsion |
j |
-7414875/5684 |
j-invariant |
L |
6.988066798514 |
L(r)(E,1)/r! |
Ω |
0.25241831197006 |
Real period |
R |
6.9211171361849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928da1 3654o1 116928i1 |
Quadratic twists by: -4 8 -3 |