Atkin-Lehner |
2+ 3+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
55752b |
Isogeny class |
Conductor |
55752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-67543143467056128 = -1 · 210 · 312 · 233 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192288,34844220] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1840:1] |
Generators of the group modulo torsion |
j |
-767860913200058500/65960101042047 |
j-invariant |
L |
5.300254654055 |
L(r)(E,1)/r! |
Ω |
0.34024711843381 |
Real period |
R |
2.5962770228147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111504e1 |
Quadratic twists by: -4 |