Atkin-Lehner |
2- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336g |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-389066752 = -1 · 212 · 43 · 472 |
Discriminant |
Eigenvalues |
2- 0 0 4 3 -7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1040,-12944] |
[a1,a2,a3,a4,a6] |
Generators |
[1497:57907:1] |
Generators of the group modulo torsion |
j |
-30371328000/94987 |
j-invariant |
L |
6.1557872139174 |
L(r)(E,1)/r! |
Ω |
0.42027145070028 |
Real period |
R |
7.3235847969925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2021a1 129344bc1 |
Quadratic twists by: -4 8 |