Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381h |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
40802460170661 = 36 · 79 · 19 · 73 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9966,-228456] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2915:1] |
Generators of the group modulo torsion |
j |
150161581047808/55970452909 |
j-invariant |
L |
7.6456412105575 |
L(r)(E,1)/r! |
Ω |
0.49289054272914 |
Real period |
R |
1.7235382231018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9709b1 |
Quadratic twists by: -3 |