Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448d |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-204259458889728 = -1 · 211 · 313 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7635,734002] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:972:1] |
Generators of the group modulo torsion |
j |
-32968057250/136812159 |
j-invariant |
L |
6.849393737744 |
L(r)(E,1)/r! |
Ω |
0.49133593983262 |
Real period |
R |
0.87127171829468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224c1 24816e1 |
Quadratic twists by: -4 -3 |