Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dj |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
325690686993262500 = 22 · 33 · 55 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173933,-5019023] |
[a1,a2,a3,a4,a6] |
Generators |
[-1057930915:-14615112754:3442951] |
Generators of the group modulo torsion |
j |
4465226119563/2499087500 |
j-invariant |
L |
10.867452537816 |
L(r)(E,1)/r! |
Ω |
0.25117038198721 |
Real period |
R |
10.816813315452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470o1 8190d1 |
Quadratic twists by: -3 13 |