Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170j |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-315046464100 = -1 · 22 · 52 · 374 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-636,-27967] |
[a1,a2,a3,a4,a6] |
Generators |
[8745:61247:125] |
Generators of the group modulo torsion |
j |
-28453633725889/315046464100 |
j-invariant |
L |
9.1055748930885 |
L(r)(E,1)/r! |
Ω |
0.41125708259946 |
Real period |
R |
5.5352085583148 |
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 |
121360n2 75850d2 |
Quadratic twists by: -4 5 |