Atkin-Lehner |
5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175h |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1148829627859375 = -1 · 56 · 73 · 118 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10524,-1576027] |
[a1,a2,a3,a4,a6] |
j |
4657463/41503 |
j-invariant |
L |
1.932741763382 |
L(r)(E,1)/r! |
Ω |
0.24159272042275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
847c1 1925f1 |
Quadratic twists by: 5 -11 |