Atkin-Lehner |
2- 3- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127908f |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-3640945220352 = -1 · 28 · 36 · 11 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504,91908] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-306:1] |
Generators of the group modulo torsion |
j |
-75866112/19509523 |
j-invariant |
L |
9.0886065092958 |
L(r)(E,1)/r! |
Ω |
0.64217844620498 |
Real period |
R |
0.393132616775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999576891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14212d1 |
Quadratic twists by: -3 |