Atkin-Lehner |
2- 3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550cj |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-239355468750 = -1 · 2 · 3 · 511 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1938,40242] |
[a1,a2,a3,a4,a6] |
Generators |
[692186:4295507:10648] |
Generators of the group modulo torsion |
j |
-51520374361/15318750 |
j-invariant |
L |
16.635528534496 |
L(r)(E,1)/r! |
Ω |
0.93718505032855 |
Real period |
R |
8.8752634661675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510c1 |
Quadratic twists by: 5 |