Atkin-Lehner |
2+ 3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23430c |
Isogeny class |
Conductor |
23430 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-157138137699840000 = -1 · 212 · 310 · 54 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-107944,23444726] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-3847:1] |
Generators of the group modulo torsion |
j |
-139095618712978040569/157138137699840000 |
j-invariant |
L |
3.9399043305967 |
L(r)(E,1)/r! |
Ω |
0.29385747865963 |
Real period |
R |
0.33518836653127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70290q1 117150bk1 |
Quadratic twists by: -3 5 |