Atkin-Lehner |
3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81075r |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
59381103515625 = 32 · 514 · 23 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10276,-153427] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1502:1] |
Generators of the group modulo torsion |
j |
7679186557489/3800390625 |
j-invariant |
L |
4.8014903012087 |
L(r)(E,1)/r! |
Ω |
0.49890024574763 |
Real period |
R |
4.8120744935795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16215a1 |
Quadratic twists by: 5 |