Atkin-Lehner |
3+ 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975d |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-17433140625 = -1 · 33 · 56 · 312 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 3 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50,-6375] |
[a1,a2,a3,a4,a6] |
Generators |
[6888:8553:343] |
Generators of the group modulo torsion |
j |
-912673/1115721 |
j-invariant |
L |
6.334482444871 |
L(r)(E,1)/r! |
Ω |
0.55581735973449 |
Real period |
R |
5.698348867402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3999a1 |
Quadratic twists by: 5 |