Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440a |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-12919070264544000 = -1 · 28 · 39 · 53 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 3 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140292,-20951676] |
[a1,a2,a3,a4,a6] |
j |
-60602588439552/2563893625 |
j-invariant |
L |
2.9528987034756 |
L(r)(E,1)/r! |
Ω |
0.12303744597815 |
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 |
20880d1 83520f1 10440o1 52200bl1 |
Quadratic twists by: -4 8 -3 5 |