Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
911468134500000000 = 28 · 3 · 59 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-243576,-5590202] |
[a1,a2,a3,a4,a6] |
Generators |
[553:5099:1] |
Generators of the group modulo torsion |
j |
461889917/263424 |
j-invariant |
L |
5.5304068752756 |
L(r)(E,1)/r! |
Ω |
0.23252678816823 |
Real period |
R |
3.9639926898644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998992779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050gp1 1050r1 |
Quadratic twists by: 5 -11 |