Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600y |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-21842784000 = -1 · 28 · 35 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52,-7092] |
[a1,a2,a3,a4,a6] |
Generators |
[22:72:1] |
Generators of the group modulo torsion |
j |
476656/682587 |
j-invariant |
L |
8.8741205146296 |
L(r)(E,1)/r! |
Ω |
0.56176892305926 |
Real period |
R |
1.5796745156502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800j1 63600j1 |
Quadratic twists by: -4 5 |