Atkin-Lehner |
7- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
82859b |
Isogeny class |
Conductor |
82859 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61992 |
Modular degree for the optimal curve |
Δ |
-17706056851 = -1 · 76 · 19 · 892 |
Discriminant |
Eigenvalues |
2 0 1 7- -5 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343,-5917] |
[a1,a2,a3,a4,a6] |
j |
37933056/150499 |
j-invariant |
L |
1.2463070817067 |
L(r)(E,1)/r! |
Ω |
0.62315355563103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1691a1 |
Quadratic twists by: -7 |