Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
47988h |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15168 |
Modular degree for the optimal curve |
Δ |
-481991472 = -1 · 24 · 36 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[8795:74152:125] |
Generators of the group modulo torsion |
j |
442368/41323 |
j-invariant |
L |
7.435481117422 |
L(r)(E,1)/r! |
Ω |
1.2712931977155 |
Real period |
R |
5.8487539544372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5332b1 |
Quadratic twists by: -3 |