Atkin-Lehner |
3- 7+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381d |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
7077861 = 36 · 7 · 19 · 73 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] [0:0:1] |
Generators of the group modulo torsion |
j |
16777216/9709 |
j-invariant |
L |
8.5891406960596 |
L(r)(E,1)/r! |
Ω |
1.9928467227407 |
Real period |
R |
4.3099856088814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9709a1 |
Quadratic twists by: -3 |