Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18564c |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-2969051904 = -1 · 28 · 32 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -2 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,2601] |
[a1,a2,a3,a4,a6] |
Generators |
[0:51:1] |
Generators of the group modulo torsion |
j |
56188928/11597859 |
j-invariant |
L |
4.9316663376544 |
L(r)(E,1)/r! |
Ω |
1.1019069325387 |
Real period |
R |
1.1188935725934 |
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 |
74256cx1 55692m1 129948bh1 |
Quadratic twists by: -4 -3 -7 |