Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cv |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-230234296726140 = -1 · 22 · 3 · 5 · 72 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11,-730035] |
[a1,a2,a3,a4,a6] |
Generators |
[99317592:-1098594117:681472] |
Generators of the group modulo torsion |
j |
-1/1555260 |
j-invariant |
L |
13.638463432917 |
L(r)(E,1)/r! |
Ω |
0.25590612198488 |
Real period |
R |
13.323697875917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bg1 |
Quadratic twists by: -23 |