Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59532j |
Isogeny class |
Conductor |
59532 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
257040 |
Modular degree for the optimal curve |
Δ |
-365991690670848 = -1 · 28 · 39 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1291,-919833] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1719:1] |
Generators of the group modulo torsion |
j |
524288/807003 |
j-invariant |
L |
8.3077013894808 |
L(r)(E,1)/r! |
Ω |
0.24968826201118 |
Real period |
R |
3.6969216121829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
492b1 |
Quadratic twists by: -11 |