Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360k |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-2323750000 = -1 · 24 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-940,11025] |
[a1,a2,a3,a4,a6] |
Generators |
[20:25:1] |
Generators of the group modulo torsion |
j |
-34006545664/859375 |
j-invariant |
L |
3.7058786693077 |
L(r)(E,1)/r! |
Ω |
1.4528997744236 |
Real period |
R |
0.18219124526802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74360m1 |
Quadratic twists by: 13 |