Atkin-Lehner |
2- 3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25944g |
Isogeny class |
Conductor |
25944 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-406285886783232 = -1 · 28 · 310 · 233 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11172,-1067292] |
[a1,a2,a3,a4,a6] |
j |
-602442220790608/1587054245247 |
j-invariant |
L |
2.5896570404698 |
L(r)(E,1)/r! |
Ω |
0.21580475337249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888g1 77832a1 |
Quadratic twists by: -4 -3 |