Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bd |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-6107007387959296 = -1 · 225 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53537,-6089921] |
[a1,a2,a3,a4,a6] |
Generators |
[579:-12544:1] |
Generators of the group modulo torsion |
j |
-64737212661577/23296384384 |
j-invariant |
L |
2.1870911420392 |
L(r)(E,1)/r! |
Ω |
0.15414858896167 |
Real period |
R |
0.50672145781749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bz1 3094c1 |
Quadratic twists by: -4 8 |