Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11360d |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1.4433834808E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -4 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3980061,-3062994965] |
[a1,a2,a3,a4,a6] |
Generators |
[11692812740893405:-92031925062133820:5015138740613] |
Generators of the group modulo torsion |
j |
-1702288080319928149504/3523885451171875 |
j-invariant |
L |
2.8441281871013 |
L(r)(E,1)/r! |
Ω |
0.053437144976538 |
Real period |
R |
26.61190252913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11360m1 22720p1 102240bx1 56800o1 |
Quadratic twists by: -4 8 -3 5 |