Atkin-Lehner |
2- 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10494c |
Isogeny class |
Conductor |
10494 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
9964503318528 = 214 · 39 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16229,-777059] |
[a1,a2,a3,a4,a6] |
j |
24015001179051/506249216 |
j-invariant |
L |
5.9294379866398 |
L(r)(E,1)/r! |
Ω |
0.42353128475998 |
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 |
83952i1 10494a1 115434j1 |
Quadratic twists by: -4 -3 -11 |