Atkin-Lehner |
3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11163a |
Isogeny class |
Conductor |
11163 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
768600 |
Modular degree for the optimal curve |
Δ |
-5.2002698260224E+20 |
Discriminant |
Eigenvalues |
1 3- 3 2 2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21057217,-37209936487] |
[a1,a2,a3,a4,a6] |
j |
-1447532257/729 |
j-invariant |
L |
5.2856385162899 |
L(r)(E,1)/r! |
Ω |
0.035237590108599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33489g1 11163b1 |
Quadratic twists by: -3 61 |