Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050iw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
65587200 |
Modular degree for the optimal curve |
Δ |
-3.7598931844911E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,88550707,-876051712623] |
[a1,a2,a3,a4,a6] |
Generators |
[7042:307519:1] |
Generators of the group modulo torsion |
j |
5076968016774473299096243/24858797913991016349696 |
j-invariant |
L |
12.467645771337 |
L(r)(E,1)/r! |
Ω |
0.026974422164696 |
Real period |
R |
0.41268081551041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050cc1 127050eq1 |
Quadratic twists by: 5 -11 |