Atkin-Lehner |
3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763r |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-2035403033094459 = -1 · 318 · 73 · 172 · 53 |
Discriminant |
Eigenvalues |
0 3- 3 7- 3 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5106,-2175156] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-3281:1] |
Generators of the group modulo torsion |
j |
-20194756231168/2792048056371 |
j-invariant |
L |
7.0077274776287 |
L(r)(E,1)/r! |
Ω |
0.20676698045893 |
Real period |
R |
1.4121628329857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18921h1 |
Quadratic twists by: -3 |