Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330y |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-50861260800 = -1 · 214 · 35 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,469,10161] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-383:1] |
Generators of the group modulo torsion |
j |
11407339418831/50861260800 |
j-invariant |
L |
8.0143155457995 |
L(r)(E,1)/r! |
Ω |
0.80603507442486 |
Real period |
R |
0.071020620389593 |
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 |
122640bb1 45990x1 76650i1 107310cs1 |
Quadratic twists by: -4 -3 5 -7 |