Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950ch |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
82886250000 = 24 · 3 · 57 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1213,8417] |
[a1,a2,a3,a4,a6] |
Generators |
[254:245:8] |
Generators of the group modulo torsion |
j |
12633057289/5304720 |
j-invariant |
L |
13.243972442646 |
L(r)(E,1)/r! |
Ω |
0.9771195973215 |
Real period |
R |
3.3885238932011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390a1 |
Quadratic twists by: 5 |