Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892bh |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
4459504896 = 28 · 35 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1661,25311] |
[a1,a2,a3,a4,a6] |
Generators |
[37:126:1] [-3:174:1] |
Generators of the group modulo torsion |
j |
5775106048/50787 |
j-invariant |
L |
13.772718286236 |
L(r)(E,1)/r! |
Ω |
1.3854683487099 |
Real period |
R |
0.33136131186985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892k1 |
Quadratic twists by: -7 |