Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040f |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3970454760000 = 26 · 310 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6393,171808] |
[a1,a2,a3,a4,a6] |
j |
619341701824/85100625 |
j-invariant |
L |
1.5057710674279 |
L(r)(E,1)/r! |
Ω |
0.75288553256252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59040e1 118080ez2 19680bd1 |
Quadratic twists by: -4 8 -3 |