Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381k |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
125200283229 = 36 · 73 · 193 · 73 |
Discriminant |
Eigenvalues |
2 3- 1 7- 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4707,-123127] |
[a1,a2,a3,a4,a6] |
Generators |
[818:5449:8] |
Generators of the group modulo torsion |
j |
15820812324864/171742501 |
j-invariant |
L |
15.989693441968 |
L(r)(E,1)/r! |
Ω |
0.57676425570673 |
Real period |
R |
3.0803445003148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9709d1 |
Quadratic twists by: -3 |