Atkin-Lehner |
2- 3+ 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350bx |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
110437500000 = 25 · 3 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1213,-3469] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:52:1] |
Generators of the group modulo torsion |
j |
12633057289/7068000 |
j-invariant |
L |
9.7929736215807 |
L(r)(E,1)/r! |
Ω |
0.86906361810574 |
Real period |
R |
1.126841973865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670b1 |
Quadratic twists by: 5 |