Atkin-Lehner |
2+ 5- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10730a |
Isogeny class |
Conductor |
10730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1331224156250 = 2 · 56 · 292 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-540374,153028930] |
[a1,a2,a3,a4,a6] |
j |
17450484878548607034681/1331224156250 |
j-invariant |
L |
1.9586580052966 |
L(r)(E,1)/r! |
Ω |
0.65288600176554 |
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 |
85840h2 96570s2 53650g2 |
Quadratic twists by: -4 -3 5 |