Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dv |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
6021120 |
Modular degree for the optimal curve |
Δ |
-3.59143576272E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -1 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-379805,-2884627803] |
[a1,a2,a3,a4,a6] |
Generators |
[1583:21096:1] |
Generators of the group modulo torsion |
j |
-851093163025/504476024832 |
j-invariant |
L |
10.151827833688 |
L(r)(E,1)/r! |
Ω |
0.063137228053986 |
Real period |
R |
2.8712480026467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050b1 111150ci1 |
Quadratic twists by: -3 5 |