Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870h |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-54805159939055040 = -1 · 26 · 37 · 5 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,88068,5103504] |
[a1,a2,a3,a4,a6] |
Generators |
[65280:3202724:27] |
Generators of the group modulo torsion |
j |
510273943271/370215360 |
j-invariant |
L |
2.6445959457349 |
L(r)(E,1)/r! |
Ω |
0.22506152158939 |
Real period |
R |
5.875273407597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126960dg1 47610cb1 79350dk1 690b1 |
Quadratic twists by: -4 -3 5 -23 |