Atkin-Lehner |
2- 3+ 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090w |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-677575065600 = -1 · 216 · 33 · 52 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-323,39747] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:210:1] |
Generators of the group modulo torsion |
j |
-137627865747/25095372800 |
j-invariant |
L |
8.7992502858716 |
L(r)(E,1)/r! |
Ω |
0.74098296499062 |
Real period |
R |
0.3710970216684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090d1 |
Quadratic twists by: -3 |