Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gn |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
3607296000 |
Modular degree for the optimal curve |
Δ |
-1.0407625202829E+37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,267865888612,145754443017094781] |
[a1,a2,a3,a4,a6] |
j |
5076968016774473299096243/24858797913991016349696 |
j-invariant |
L |
2.1802797527779 |
L(r)(E,1)/r! |
Ω |
0.005191140302417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050eq1 127050cc1 |
Quadratic twists by: 5 -11 |