Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150d |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-160088400000000000 = -1 · 213 · 38 · 511 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218875,43772125] |
[a1,a2,a3,a4,a6] |
j |
-74215610396057521/10245657600000 |
j-invariant |
L |
1.2526022552941 |
L(r)(E,1)/r! |
Ω |
0.31315056382352 |
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 |
73200cu1 27450bx1 1830l1 |
Quadratic twists by: -4 -3 5 |