Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cl |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2777250 = -1 · 2 · 3 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35,5] |
[a1,a2,a3,a4,a6] |
Generators |
[14:59:8] |
Generators of the group modulo torsion |
j |
8947391/5250 |
j-invariant |
L |
10.185524060837 |
L(r)(E,1)/r! |
Ω |
1.4996884746771 |
Real period |
R |
2.2639199637024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090bp1 |
Quadratic twists by: -23 |