Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640bk |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
6948281250000 = 24 · 36 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28145,1803618] |
[a1,a2,a3,a4,a6] |
Generators |
[106:150:1] |
Generators of the group modulo torsion |
j |
154107196178907136/434267578125 |
j-invariant |
L |
6.4143840207005 |
L(r)(E,1)/r! |
Ω |
0.74969404862982 |
Real period |
R |
0.57040015478525 |
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 |
3660d1 58560cb1 43920bp1 73200bo1 |
Quadratic twists by: -4 8 -3 5 |