Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ha |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
191027615625000 = 23 · 38 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79813,8646617] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-1231:1] |
Generators of the group modulo torsion |
j |
2703627633491/9185400 |
j-invariant |
L |
12.957280963126 |
L(r)(E,1)/r! |
Ω |
0.56926463011122 |
Real period |
R |
0.47419659615943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410r2 127050df2 |
Quadratic twists by: 5 -11 |