Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fc |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-18589244978304 = -1 · 27 · 313 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5692,-126745] |
[a1,a2,a3,a4,a6] |
Generators |
[45:445:1] |
Generators of the group modulo torsion |
j |
571039705271/520401024 |
j-invariant |
L |
11.05502649256 |
L(r)(E,1)/r! |
Ω |
0.37739786590049 |
Real period |
R |
1.0461701298362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042bm1 126126eg1 |
Quadratic twists by: -3 -7 |