Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6072f |
Isogeny class |
Conductor |
6072 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-299768504474736 = -1 · 24 · 37 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -5 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14908,-455619] |
[a1,a2,a3,a4,a6] |
Generators |
[310:-5819:1] |
Generators of the group modulo torsion |
j |
22899855913233152/18735531529671 |
j-invariant |
L |
2.0677094834091 |
L(r)(E,1)/r! |
Ω |
0.30245943880662 |
Real period |
R |
0.2278773303254 |
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 |
12144h1 48576bi1 18216g1 66792bf1 |
Quadratic twists by: -4 8 -3 -11 |