Atkin-Lehner |
2- 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378bp |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-255422126905344 = -1 · 211 · 36 · 72 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11939,-915357] |
[a1,a2,a3,a4,a6] |
Generators |
[147:626:1] |
Generators of the group modulo torsion |
j |
-258146319402217/350373287936 |
j-invariant |
L |
13.914443716444 |
L(r)(E,1)/r! |
Ω |
0.21750303091512 |
Real period |
R |
2.9078892144274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999475151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042c1 |
Quadratic twists by: -3 |