Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520y |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-304884449280 = -1 · 215 · 33 · 5 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,957,-23998] |
[a1,a2,a3,a4,a6] |
Generators |
[79:738:1] |
Generators of the group modulo torsion |
j |
876467493/2756840 |
j-invariant |
L |
5.2662840260162 |
L(r)(E,1)/r! |
Ω |
0.49578604283325 |
Real period |
R |
0.88517417646549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3690a1 118080do1 29520bb2 |
Quadratic twists by: -4 8 -3 |