Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550ce |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-119799770781250 = -1 · 2 · 57 · 79 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4313,-538133] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:16427:8] |
Generators of the group modulo torsion |
j |
-4826809/65170 |
j-invariant |
L |
5.8157777183302 |
L(r)(E,1)/r! |
Ω |
0.25192065958802 |
Real period |
R |
1.4428594621427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310i1 6650w1 |
Quadratic twists by: 5 -7 |