Atkin-Lehner |
3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18759b |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-694083 = -1 · 3 · 132 · 372 |
Discriminant |
Eigenvalues |
0 3+ -4 1 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-95,392] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-566984704/4107 |
j-invariant |
L |
1.8073493464684 |
L(r)(E,1)/r! |
Ω |
2.8780620551513 |
Real period |
R |
0.31398720941987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56277e1 18759f1 |
Quadratic twists by: -3 13 |