Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bm |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
526249821088320 = 26 · 3 · 5 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33603,2095486] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:2138:1] |
Generators of the group modulo torsion |
j |
28344726649/3554880 |
j-invariant |
L |
5.6127354416204 |
L(r)(E,1)/r! |
Ω |
0.50257951104491 |
Real period |
R |
5.5839278110697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830i1 |
Quadratic twists by: -23 |