Atkin-Lehner |
2- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534q |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
18870950912 = 210 · 112 · 173 · 31 |
Discriminant |
Eigenvalues |
2- -2 -2 -1 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1339,-17775] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:45:1] |
Generators of the group modulo torsion |
j |
2194321933177/155958272 |
j-invariant |
L |
3.8708984438062 |
L(r)(E,1)/r! |
Ω |
0.79276448248258 |
Real period |
R |
0.16275949130759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000032793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534f1 |
Quadratic twists by: -11 |