Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bw |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-16153392201318000 = -1 · 24 · 39 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70227,-9418221] |
[a1,a2,a3,a4,a6] |
Generators |
[1173:39015:1] |
Generators of the group modulo torsion |
j |
-5038848/2125 |
j-invariant |
L |
4.4677152281332 |
L(r)(E,1)/r! |
Ω |
0.1436751198594 |
Real period |
R |
1.2956648367639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040d1 6120o1 |
Quadratic twists by: -3 17 |