Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
125692d |
Isogeny class |
Conductor |
125692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1749504 |
Modular degree for the optimal curve |
Δ |
3047131852385034064 = 24 · 7 · 679 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 2 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-401017,50138306] |
[a1,a2,a3,a4,a6] |
Generators |
[27006:300763:216] |
Generators of the group modulo torsion |
j |
16384/7 |
j-invariant |
L |
5.0233518456416 |
L(r)(E,1)/r! |
Ω |
0.22843080294434 |
Real period |
R |
3.6651156983581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998297601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125692a1 |
Quadratic twists by: -67 |