Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12900i |
Isogeny class |
Conductor |
12900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-13932000000 = -1 · 28 · 34 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,-5337] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
5.2092160876805 |
L(r)(E,1)/r! |
Ω |
0.62547889481354 |
Real period |
R |
1.041045535444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600cb1 38700e1 516b1 |
Quadratic twists by: -4 -3 5 |