Atkin-Lehner |
3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975m |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
1163420009765625 = 3 · 510 · 314 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50001,3974023] |
[a1,a2,a3,a4,a6] |
Generators |
[10201:1024967:1] [4468:55859:64] |
Generators of the group modulo torsion |
j |
884763648288001/74458880625 |
j-invariant |
L |
16.85727085815 |
L(r)(E,1)/r! |
Ω |
0.47593967446645 |
Real period |
R |
8.8547308423294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995e1 |
Quadratic twists by: 5 |