Atkin-Lehner |
2- 3+ 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090x |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2334720 |
Modular degree for the optimal curve |
Δ |
12698846043750000 = 24 · 33 · 58 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5817653,-5399488419] |
[a1,a2,a3,a4,a6] |
Generators |
[-45632480:24399231:32768] |
Generators of the group modulo torsion |
j |
806498045402014031192307/470327631250000 |
j-invariant |
L |
11.776444057099 |
L(r)(E,1)/r! |
Ω |
0.097210375850395 |
Real period |
R |
7.5714937540931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090e1 |
Quadratic twists by: -3 |