Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050dc |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
18463632000000 = 210 · 3 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6613,-10783] |
[a1,a2,a3,a4,a6] |
j |
2046931732873/1181672448 |
j-invariant |
L |
5.778337620695 |
L(r)(E,1)/r! |
Ω |
0.57783376206955 |
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 |
84150ch1 1122a1 |
Quadratic twists by: -3 5 |