Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455o |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3041887365 = 37 · 5 · 114 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 11- 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,-212] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:49:1] |
Generators of the group modulo torsion |
j |
495616/285 |
j-invariant |
L |
2.544164707447 |
L(r)(E,1)/r! |
Ω |
1.1893167841749 |
Real period |
R |
0.17826514219863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34485g1 103455t1 |
Quadratic twists by: -3 -11 |