Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600do |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-8262000000000 = -1 · 210 · 35 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22033,1259063] |
[a1,a2,a3,a4,a6] |
Generators |
[98:225:1] |
Generators of the group modulo torsion |
j |
-73934023936/516375 |
j-invariant |
L |
9.3743760865211 |
L(r)(E,1)/r! |
Ω |
0.7404164632693 |
Real period |
R |
1.2660950358379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600gh1 10200z1 16320a1 |
Quadratic twists by: -4 8 5 |