Atkin-Lehner |
2+ 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53754d |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
482112 |
Modular degree for the optimal curve |
Δ |
-50041434912325632 = -1 · 231 · 32 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 3 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,60540,9133776] |
[a1,a2,a3,a4,a6] |
Generators |
[677:18661:1] |
Generators of the group modulo torsion |
j |
293794774832375/599147937792 |
j-invariant |
L |
3.3279867038821 |
L(r)(E,1)/r! |
Ω |
0.24646937176194 |
Real period |
R |
6.7513189978462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53754e1 |
Quadratic twists by: 17 |