Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3660d |
Isogeny class |
Conductor |
3660 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10080 |
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] |
j |
154107196178907136/434267578125 |
j-invariant |
L |
1.8432808900865 |
L(r)(E,1)/r! |
Ω |
0.3686561780173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14640bk1 58560y1 10980d1 18300j1 |
Quadratic twists by: -4 8 -3 5 |