Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440m |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-456645600000 = -1 · 28 · 39 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,972,-30348] |
[a1,a2,a3,a4,a6] |
j |
20155392/90625 |
j-invariant |
L |
1.8931500671243 |
L(r)(E,1)/r! |
Ω |
0.47328751678107 |
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 |
20880a1 83520q1 10440b1 52200a1 |
Quadratic twists by: -4 8 -3 5 |