Atkin-Lehner |
2- 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072p |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-274559238144 = -1 · 215 · 35 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 0 5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1544,-9004] |
[a1,a2,a3,a4,a6] |
Generators |
[20:174:1] |
Generators of the group modulo torsion |
j |
99317171591/67031064 |
j-invariant |
L |
7.3329654655859 |
L(r)(E,1)/r! |
Ω |
0.55517676574624 |
Real period |
R |
0.66041717863648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7134a1 |
Quadratic twists by: -4 |