Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600f |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-6439500000000000 = -1 · 211 · 35 · 512 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -1 -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,3860512] |
[a1,a2,a3,a4,a6] |
j |
3370318/201234375 |
j-invariant |
L |
1.3378503252001 |
L(r)(E,1)/r! |
Ω |
0.33446258258587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800z1 12720l1 |
Quadratic twists by: -4 5 |