Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10527d |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
833469049793448189 = 324 · 112 · 293 |
Discriminant |
Eigenvalues |
2 3+ -2 -1 11- 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9535984,-11331080685] |
[a1,a2,a3,a4,a6] |
j |
792565070619875179466752/6888173965235109 |
j-invariant |
L |
2.7492129264711 |
L(r)(E,1)/r! |
Ω |
0.085912903952221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31581r1 10527g1 |
Quadratic twists by: -3 -11 |