Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11360c |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-1454080 = -1 · 212 · 5 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 4 -5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,1195] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
-292754944/355 |
j-invariant |
L |
2.4984058209034 |
L(r)(E,1)/r! |
Ω |
2.6836090725956 |
Real period |
R |
0.4654936231988 |
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 |
11360l1 22720o1 102240bp1 56800n1 |
Quadratic twists by: -4 8 -3 5 |