Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ca |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22237439048810496 = 219 · 38 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-398604,-96597520] |
[a1,a2,a3,a4,a6] |
Generators |
[97850895:435049505:132651] |
Generators of the group modulo torsion |
j |
36650611029313/116363646 |
j-invariant |
L |
8.6920871751135 |
L(r)(E,1)/r! |
Ω |
0.19004088313895 |
Real period |
R |
11.434496256445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fx4 3906i3 41664l4 |
Quadratic twists by: -4 8 -3 |