Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640bc |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-2286182400000 = -1 · 216 · 3 · 55 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1824,-65676] |
[a1,a2,a3,a4,a6] |
Generators |
[2330:112512:1] |
Generators of the group modulo torsion |
j |
163757102111/558150000 |
j-invariant |
L |
4.7512236899741 |
L(r)(E,1)/r! |
Ω |
0.41788575974725 |
Real period |
R |
5.6848356029742 |
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 |
1830f1 58560db1 43920by1 73200bi1 |
Quadratic twists by: -4 8 -3 5 |