Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244bd |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-8.2296898618595E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170391576,856202968969] |
[a1,a2,a3,a4,a6] |
Generators |
[7404:-22477:1] |
Generators of the group modulo torsion |
j |
-46905153407436463334883328/7055632597616196867 |
j-invariant |
L |
5.0091864036955 |
L(r)(E,1)/r! |
Ω |
0.10447871309644 |
Real period |
R |
0.66589672982704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748r1 |
Quadratic twists by: -3 |