Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640bb |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-41966213529600000 = -1 · 225 · 38 · 55 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140080,-22411328] |
[a1,a2,a3,a4,a6] |
j |
-74215610396057521/10245657600000 |
j-invariant |
L |
2.4489871231032 |
L(r)(E,1)/r! |
Ω |
0.12244935615516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830l1 58560dj1 43920bw1 73200cu1 |
Quadratic twists by: -4 8 -3 5 |