Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600bm |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-286200000000000 = -1 · 212 · 33 · 511 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88533,10201437] |
[a1,a2,a3,a4,a6] |
j |
-1199124250624/4471875 |
j-invariant |
L |
1.1011784061942 |
L(r)(E,1)/r! |
Ω |
0.55058920606986 |
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 |
3975h1 12720bb1 |
Quadratic twists by: -4 5 |