Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126el |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
2520 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-2.9972362908654E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 13+ -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6822059,6910477179] |
[a1,a2,a3,a4,a6] |
Generators |
[-3013:11802:1] [1563:7226:1] |
Generators of the group modulo torsion |
j |
-20060898344744159497/171238452363264 |
j-invariant |
L |
15.164605345415 |
L(r)(E,1)/r! |
Ω |
0.17352859429837 |
Real period |
R |
0.034678437621236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042a1 126126fz1 |
Quadratic twists by: -3 -7 |