Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bs |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
94905111029906268 = 22 · 32 · 714 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36571347,85122426213] |
[a1,a2,a3,a4,a6] |
Generators |
[437830:-362729:125] |
Generators of the group modulo torsion |
j |
45978875188587141274657/806680133532 |
j-invariant |
L |
15.531141850845 |
L(r)(E,1)/r! |
Ω |
0.2419887381188 |
Real period |
R |
8.0226573573915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558m5 |
Quadratic twists by: -7 |