Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722y |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20563200 |
Modular degree for the optimal curve |
Δ |
-7.9851770074463E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61168509,184152325189] |
[a1,a2,a3,a4,a6] |
Generators |
[4170:37643:1] |
Generators of the group modulo torsion |
j |
-15803373870358324067917/49857094113536 |
j-invariant |
L |
3.0107326080204 |
L(r)(E,1)/r! |
Ω |
0.16818007993138 |
Real period |
R |
4.4754596061389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999696419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858p1 124722ca1 |
Quadratic twists by: -3 13 |