Atkin-Lehner |
2- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
83582l |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
379776 |
Modular degree for the optimal curve |
Δ |
-284582120511154 = -1 · 2 · 239 · 79 |
Discriminant |
Eigenvalues |
2- 2 -1 4 2 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42331,3431467] |
[a1,a2,a3,a4,a6] |
Generators |
[-345827434524:4428972105311:1888232256] |
Generators of the group modulo torsion |
j |
-4657463/158 |
j-invariant |
L |
16.7049855603 |
L(r)(E,1)/r! |
Ω |
0.54538710036742 |
Real period |
R |
15.314797094619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83582p1 |
Quadratic twists by: -23 |