Atkin-Lehner |
2+ 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134c |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3017932148 = -1 · 22 · 76 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11+ -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,2633] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:29:1] [-8:53:1] |
Generators of the group modulo torsion |
j |
-15625/25652 |
j-invariant |
L |
6.0387838703589 |
L(r)(E,1)/r! |
Ω |
1.1467650036704 |
Real period |
R |
0.65824121016901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166a1 |
Quadratic twists by: -7 |