Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
22239360 |
Modular degree for the optimal curve |
Δ |
-4.5790137469441E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64993701,204281916298] |
[a1,a2,a3,a4,a6] |
j |
-72521367806261/1093705578 |
j-invariant |
L |
2.4430046746612 |
L(r)(E,1)/r! |
Ω |
0.093961708440518 |
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 |
127050gw1 127050je1 |
Quadratic twists by: 5 -11 |