Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490by |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
16253165280 = 25 · 3 · 5 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 3 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-186370,-31045585] |
[a1,a2,a3,a4,a6] |
Generators |
[-15980:7981:64] |
Generators of the group modulo torsion |
j |
5916522263654774761/134323680 |
j-invariant |
L |
10.55685337378 |
L(r)(E,1)/r! |
Ω |
0.22977646398795 |
Real period |
R |
2.2972007656102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490o1 |
Quadratic twists by: -11 |