Atkin-Lehner |
2+ 7- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
108878c |
Isogeny class |
Conductor |
108878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-40258076012 = -1 · 22 · 77 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-9656] |
[a1,a2,a3,a4,a6] |
Generators |
[67:505:1] [34:153:1] |
Generators of the group modulo torsion |
j |
-15625/342188 |
j-invariant |
L |
10.222427013746 |
L(r)(E,1)/r! |
Ω |
0.52328428314609 |
Real period |
R |
2.4418913736846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15554a1 |
Quadratic twists by: -7 |