Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420d |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
-122880240 = -1 · 24 · 36 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86,645] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:27:1] |
Generators of the group modulo torsion |
j |
-90770176/156735 |
j-invariant |
L |
3.2272266810641 |
L(r)(E,1)/r! |
Ω |
1.6636569019361 |
Real period |
R |
0.96991957295387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996818596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420bn1 |
Quadratic twists by: -7 |