Atkin-Lehner |
2- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44764b |
Isogeny class |
Conductor |
44764 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43092 |
Modular degree for the optimal curve |
Δ |
-23334756976 = -1 · 24 · 196 · 31 |
Discriminant |
Eigenvalues |
2- 2 -3 -1 -6 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-842,-11659] |
[a1,a2,a3,a4,a6] |
Generators |
[5732639:15985467:148877] |
Generators of the group modulo torsion |
j |
-87808/31 |
j-invariant |
L |
5.2085649238248 |
L(r)(E,1)/r! |
Ω |
0.43536837995337 |
Real period |
R |
11.963581104326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124a1 |
Quadratic twists by: -19 |