Atkin-Lehner |
3+ 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84075a |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6948864 |
Modular degree for the optimal curve |
Δ |
1.9964664121661E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -6 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14065663,19126595156] |
[a1,a2,a3,a4,a6] |
Generators |
[3654599650:104722933149:1092727] |
Generators of the group modulo torsion |
j |
19696284638611629311017/1277738503786280817 |
j-invariant |
L |
1.8853386837414 |
L(r)(E,1)/r! |
Ω |
0.11950471946013 |
Real period |
R |
15.77626967197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363d1 |
Quadratic twists by: 5 |