Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050p |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-367009732031250 = -1 · 2 · 3 · 58 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1025,921375] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:608:1] [-45:960:1] |
Generators of the group modulo torsion |
j |
-5735339/17647350 |
j-invariant |
L |
7.7075175976531 |
L(r)(E,1)/r! |
Ω |
0.43114059627085 |
Real period |
R |
1.4897533174245 |
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 |
25410ci2 127050ew2 |
Quadratic twists by: 5 -11 |