Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448r |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
325632 |
Modular degree for the optimal curve |
Δ |
-1606719960721152 = -1 · 28 · 37 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81759,-9202462] |
[a1,a2,a3,a4,a6] |
Generators |
[559:10944:1] |
Generators of the group modulo torsion |
j |
-323864190772432/8609396223 |
j-invariant |
L |
6.98819148025 |
L(r)(E,1)/r! |
Ω |
0.14094651302688 |
Real period |
R |
2.0658520656839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27816f1 |
Quadratic twists by: -3 |