Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334y |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
3356832885464662912 = 27 · 72 · 119 · 613 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-605668,-158622320] |
[a1,a2,a3,a4,a6] |
Generators |
[1044:18112:1] |
Generators of the group modulo torsion |
j |
13869842580609625/1894844651392 |
j-invariant |
L |
11.032961827329 |
L(r)(E,1)/r! |
Ω |
0.17268559610731 |
Real period |
R |
1.1409010361054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394c1 |
Quadratic twists by: -11 |