Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13552a |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-818107136 = -1 · 28 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ 11+ -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1804,-29524] |
[a1,a2,a3,a4,a6] |
Generators |
[5115:68453:27] |
Generators of the group modulo torsion |
j |
-1905527808/2401 |
j-invariant |
L |
6.4726768690887 |
L(r)(E,1)/r! |
Ω |
0.3662499876586 |
Real period |
R |
4.4182096158337 |
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 |
6776b1 54208bt1 121968bc1 94864j1 |
Quadratic twists by: -4 8 -3 -7 |