Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bi |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2132928000 = -1 · 29 · 32 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 0 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2783,56306] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-23:1] |
Generators of the group modulo torsion |
j |
-4503843737689/4032000 |
j-invariant |
L |
7.1227099547533 |
L(r)(E,1)/r! |
Ω |
1.4569327458774 |
Real period |
R |
0.81480653640392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090t1 |
Quadratic twists by: -23 |