Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420z |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
1137780000000 = 28 · 33 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11685,-479583] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:50:1] |
Generators of the group modulo torsion |
j |
14067307577344/90703125 |
j-invariant |
L |
3.907089582527 |
L(r)(E,1)/r! |
Ω |
0.45936508516279 |
Real period |
R |
0.40501964781895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420bf1 |
Quadratic twists by: -7 |