Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600bj |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-18139852800 = -1 · 212 · 311 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,6320] |
[a1,a2,a3,a4,a6] |
Generators |
[1:81:1] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
3.3255904447821 |
L(r)(E,1)/r! |
Ω |
0.9053356384747 |
Real period |
R |
0.91833081109704 |
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 |
225d1 14400eb1 1200k1 3600bp2 |
Quadratic twists by: -4 8 -3 5 |