Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700bo |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-153840768480000 = -1 · 28 · 33 · 54 · 73 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51933,-4611537] |
[a1,a2,a3,a4,a6] |
Generators |
[594:13209:1] |
Generators of the group modulo torsion |
j |
-96814927667200/961504803 |
j-invariant |
L |
8.3280560096864 |
L(r)(E,1)/r! |
Ω |
0.15803410917873 |
Real period |
R |
5.8553154169018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700h2 |
Quadratic twists by: 5 |