Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700h |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
660960 |
Modular degree for the optimal curve |
Δ |
-16189267500000000 = -1 · 28 · 39 · 510 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51667,-4145463] |
[a1,a2,a3,a4,a6] |
Generators |
[22498304544:556161926337:42508549] |
Generators of the group modulo torsion |
j |
6101196800/6475707 |
j-invariant |
L |
3.8600150490513 |
L(r)(E,1)/r! |
Ω |
0.21202500653236 |
Real period |
R |
18.205470707824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700bo1 |
Quadratic twists by: 5 |