Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14880f |
Isogeny class |
Conductor |
14880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-14124375000000 = -1 · 26 · 36 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5450,91552] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2700:1] |
Generators of the group modulo torsion |
j |
279674941219136/220693359375 |
j-invariant |
L |
3.9178219984611 |
L(r)(E,1)/r! |
Ω |
0.45298347224997 |
Real period |
R |
0.86489292401802 |
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 |
14880h1 29760ck1 44640bl1 74400cq1 |
Quadratic twists by: -4 8 -3 5 |