Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
274661156601562500 = 22 · 34 · 510 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3176313,2178468117] |
[a1,a2,a3,a4,a6] |
Generators |
[-2714:455107:8] |
Generators of the group modulo torsion |
j |
128031684631201/9922500 |
j-invariant |
L |
15.172507983584 |
L(r)(E,1)/r! |
Ω |
0.29469120508048 |
Real period |
R |
3.217882744145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005583 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410n4 1050g3 |
Quadratic twists by: 5 -11 |