Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277j |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
339456 |
Modular degree for the optimal curve |
Δ |
-2442300225866163 = -1 · 37 · 138 · 372 |
Discriminant |
Eigenvalues |
0 3- -4 -1 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-145002,-21385049] |
[a1,a2,a3,a4,a6] |
Generators |
[511:6160:1] |
Generators of the group modulo torsion |
j |
-566984704/4107 |
j-invariant |
L |
3.3414276655859 |
L(r)(E,1)/r! |
Ω |
0.12227514023774 |
Real period |
R |
3.4158902405955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18759f1 56277e1 |
Quadratic twists by: -3 13 |