Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600ca |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2035200000000 = -1 · 215 · 3 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2592,45312] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-400:1] |
Generators of the group modulo torsion |
j |
30080231/31800 |
j-invariant |
L |
3.6990665892745 |
L(r)(E,1)/r! |
Ω |
0.54795562757943 |
Real period |
R |
0.84383351575023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950bu1 12720x1 |
Quadratic twists by: -4 5 |