Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270cj |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
24883200 |
Modular degree for the optimal curve |
Δ |
-1.1539206512831E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-332857390,-2337440599900] |
[a1,a2,a3,a4,a6] |
j |
-2302195558228013816407801/65135812500000 |
j-invariant |
L |
9.5433040458767 |
L(r)(E,1)/r! |
Ω |
0.017672785543939 |
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 |
9570m1 |
Quadratic twists by: -11 |