Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906x |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-80498784457728 = -1 · 210 · 32 · 74 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 5 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4801,414245] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:-542:1] |
Generators of the group modulo torsion |
j |
5097074909423/33527190528 |
j-invariant |
L |
6.8293416522904 |
L(r)(E,1)/r! |
Ω |
0.44214655591342 |
Real period |
R |
0.19307347205563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87906by1 |
Quadratic twists by: -7 |