Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381g |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-118957609827 = -1 · 36 · 76 · 19 · 73 |
Discriminant |
Eigenvalues |
0 3- 0 7- 6 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-930,-19863] |
[a1,a2,a3,a4,a6] |
Generators |
[45:171:1] |
Generators of the group modulo torsion |
j |
-122023936000/163179163 |
j-invariant |
L |
6.2320646560625 |
L(r)(E,1)/r! |
Ω |
0.41189894447369 |
Real period |
R |
1.2608401358841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9709c1 |
Quadratic twists by: -3 |