Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cj |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-2.2131343863376E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019243,-1127366458] |
[a1,a2,a3,a4,a6] |
Generators |
[24986042279102524009818732115658303410357994:19922142052459929229352033827566543305449104124:39302318876046343282677157242778027657] |
Generators of the group modulo torsion |
j |
-5142706/125 |
j-invariant |
L |
8.4510044138265 |
L(r)(E,1)/r! |
Ω |
0.0632336969121 |
Real period |
R |
66.823583204174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11560c1 104040cy1 |
Quadratic twists by: -3 17 |