Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700r |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-22725414432000 = -1 · 28 · 38 · 53 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44388,3621672] |
[a1,a2,a3,a4,a6] |
Generators |
[86:658:1] |
Generators of the group modulo torsion |
j |
-302259702050192/710169201 |
j-invariant |
L |
6.4458982697777 |
L(r)(E,1)/r! |
Ω |
0.67849739263505 |
Real period |
R |
0.79168791891337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98700br2 |
Quadratic twists by: 5 |