Atkin-Lehner |
3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63897g |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19543680 |
Modular degree for the optimal curve |
Δ |
6.0112333598247E+25 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-203108174,-1049920745758] |
[a1,a2,a3,a4,a6] |
Generators |
[103833382:9893766047:4913] |
Generators of the group modulo torsion |
j |
19696284638611629311017/1277738503786280817 |
j-invariant |
L |
1.6462853158375 |
L(r)(E,1)/r! |
Ω |
0.040154309328758 |
Real period |
R |
6.8331616348261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363d1 |
Quadratic twists by: -19 |