Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744c |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4041157378048 = -1 · 222 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ 4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4065,137599] |
[a1,a2,a3,a4,a6] |
Generators |
[29:212:1] |
Generators of the group modulo torsion |
j |
-28344726649/15415792 |
j-invariant |
L |
2.1815971385824 |
L(r)(E,1)/r! |
Ω |
0.72637654022545 |
Real period |
R |
1.5016985115635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744bg1 742b1 |
Quadratic twists by: -4 8 |