Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090df |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-74985750 = -1 · 2 · 34 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1452415,673606367] |
[a1,a2,a3,a4,a6] |
Generators |
[5566:-2771:8] |
Generators of the group modulo torsion |
j |
-640531120905493043809/141750 |
j-invariant |
L |
13.666197210754 |
L(r)(E,1)/r! |
Ω |
0.78898044683852 |
Real period |
R |
1.4434448550411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090ct2 |
Quadratic twists by: -23 |