Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bc |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
40731250000 = 24 · 58 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -5 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116583,-15360412] |
[a1,a2,a3,a4,a6] |
j |
28038391797760/6517 |
j-invariant |
L |
0.7751070689462 |
L(r)(E,1)/r! |
Ω |
0.2583690233912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600k1 53200g1 |
Quadratic twists by: -4 5 |