Atkin-Lehner |
3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
62001j |
Isogeny class |
Conductor |
62001 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1115520 |
Modular degree for the optimal curve |
Δ |
-1.4777289335064E+19 |
Discriminant |
Eigenvalues |
-1 3- -2 2 0 5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1179311,526785576] |
[a1,a2,a3,a4,a6] |
Generators |
[39444:352205:64] |
Generators of the group modulo torsion |
j |
-110473/9 |
j-invariant |
L |
4.0599168226612 |
L(r)(E,1)/r! |
Ω |
0.21740960657203 |
Real period |
R |
9.337022605859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20667d1 62001h1 |
Quadratic twists by: -3 -83 |