Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bm |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
1818820608 = 216 · 3 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,-1407] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:32:1] |
Generators of the group modulo torsion |
j |
74438500/27753 |
j-invariant |
L |
2.7685455994415 |
L(r)(E,1)/r! |
Ω |
1.1358990753963 |
Real period |
R |
1.2186582679031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248ba1 15312i1 |
Quadratic twists by: -4 8 |