Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474o |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27095040 |
Modular degree for the optimal curve |
Δ |
4.0407140578801E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-479768526,-4043511471020] |
[a1,a2,a3,a4,a6] |
Generators |
[15743469032926295:3425863670068365488:275259237625] |
Generators of the group modulo torsion |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
5.8460913593363 |
L(r)(E,1)/r! |
Ω |
0.032258950887707 |
Real period |
R |
22.65298157399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28158m1 4446t1 |
Quadratic twists by: -3 -19 |