Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050p |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1283999062500 = 22 · 32 · 57 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9275,335625] |
[a1,a2,a3,a4,a6] |
Generators |
[40:155:1] [-100:575:1] |
Generators of the group modulo torsion |
j |
4243659659/61740 |
j-invariant |
L |
7.7075175976531 |
L(r)(E,1)/r! |
Ω |
0.8622811925417 |
Real period |
R |
0.37243832935614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999932564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ci1 127050ew1 |
Quadratic twists by: 5 -11 |