Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8547a |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
240980677895158047 = 34 · 7 · 112 · 378 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-404949,96163812] |
[a1,a2,a3,a4,a6] |
Generators |
[426:878:1] |
Generators of the group modulo torsion |
j |
7343866469456768711377/240980677895158047 |
j-invariant |
L |
1.6865250960445 |
L(r)(E,1)/r! |
Ω |
0.3108625254795 |
Real period |
R |
2.712654240718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25641e3 59829m3 94017k3 |
Quadratic twists by: -3 -7 -11 |