Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bh |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6971418360152064 = -1 · 220 · 33 · 77 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40963,-2423149] |
[a1,a2,a3,a4,a6] |
Generators |
[455:10292:1] |
Generators of the group modulo torsion |
j |
64611537528383/59256078336 |
j-invariant |
L |
9.5112857456356 |
L(r)(E,1)/r! |
Ω |
0.23017081072501 |
Real period |
R |
4.1322727692863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558r1 |
Quadratic twists by: -7 |