Atkin-Lehner |
2+ 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15438j |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
972286722048 = 217 · 3 · 313 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -3 0 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4025,85724] |
[a1,a2,a3,a4,a6] |
Generators |
[8:228:1] |
Generators of the group modulo torsion |
j |
7208854364036233/972286722048 |
j-invariant |
L |
4.5436201229929 |
L(r)(E,1)/r! |
Ω |
0.84708722655345 |
Real period |
R |
1.7879387075164 |
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 |
123504u1 46314bf1 |
Quadratic twists by: -4 -3 |