Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bf |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
167412514500000000 = 28 · 33 · 59 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1505000,-711000000] |
[a1,a2,a3,a4,a6] |
Generators |
[1984:63176:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
j-invariant |
L |
3.5505883906985 |
L(r)(E,1)/r! |
Ω |
0.1363097643133 |
Real period |
R |
6.5119844840772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000309112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ct1 1050k1 |
Quadratic twists by: 5 -11 |