Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870h |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
852397875000000000 = 29 · 32 · 512 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8414269,-9395074408] |
[a1,a2,a3,a4,a6] |
j |
65882916187204009874887369/852397875000000000 |
j-invariant |
L |
2.1274386339252 |
L(r)(E,1)/r! |
Ω |
0.08864327641355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960bh4 29610bg4 49350bi4 69090k4 |
Quadratic twists by: -4 -3 5 -7 |