Atkin-Lehner |
2- 5- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30740c |
Isogeny class |
Conductor |
30740 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
12384 |
Modular degree for the optimal curve |
Δ |
-49184000 = -1 · 28 · 53 · 29 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- -1 -3 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127,646] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] [-5:34:1] |
Generators of the group modulo torsion |
j |
-884901456/192125 |
j-invariant |
L |
5.5526193404525 |
L(r)(E,1)/r! |
Ω |
1.9193148804529 |
Real period |
R |
0.32144684062949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122960r1 |
Quadratic twists by: -4 |