Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090t |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2384640 |
Modular degree for the optimal curve |
Δ |
-315749892652992000 = -1 · 29 · 32 · 53 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1471954,-688022044] |
[a1,a2,a3,a4,a6] |
Generators |
[25936519675530264352918228:1489810122944968756398382316:6838353861221390755213] |
Generators of the group modulo torsion |
j |
-4503843737689/4032000 |
j-invariant |
L |
5.6712956503452 |
L(r)(E,1)/r! |
Ω |
0.068528735824877 |
Real period |
R |
41.378960096667 |
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 |
111090bi1 |
Quadratic twists by: -23 |