Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10400t |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10816000 = -1 · 29 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,-132] |
[a1,a2,a3,a4,a6] |
Generators |
[7:22:1] |
Generators of the group modulo torsion |
j |
54872/169 |
j-invariant |
L |
2.8481312060777 |
L(r)(E,1)/r! |
Ω |
1.1654340930061 |
Real period |
R |
2.4438372132493 |
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 |
10400bj2 20800bl2 93600fb2 10400bd2 |
Quadratic twists by: -4 8 -3 5 |