Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600co |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-2035200000000 = -1 · 215 · 3 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4208,126912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:400:1] |
Generators of the group modulo torsion |
j |
-5151505/1272 |
j-invariant |
L |
2.8272484988467 |
L(r)(E,1)/r! |
Ω |
0.78847580062895 |
Real period |
R |
0.29880947697257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950bw1 63600dd1 |
Quadratic twists by: -4 5 |