Atkin-Lehner |
2- 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57904g |
Isogeny class |
Conductor |
57904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1168797335552 = -1 · 222 · 72 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,701,51522] |
[a1,a2,a3,a4,a6] |
j |
9300746727/285350912 |
j-invariant |
L |
2.6121805870206 |
L(r)(E,1)/r! |
Ω |
0.65304514740394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7238b1 |
Quadratic twists by: -4 |