Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578h |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-376909678084488192 = -1 · 210 · 312 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89532,-31263408] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:86106:1] |
Generators of the group modulo torsion |
j |
-925434168625/4394621952 |
j-invariant |
L |
4.1639810320979 |
L(r)(E,1)/r! |
Ω |
0.12489958921531 |
Real period |
R |
4.167328589968 |
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 |
8526ba1 3654e1 |
Quadratic twists by: -3 -7 |