Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728eo |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-296974024704 = -1 · 219 · 37 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 -4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1119,-21537] |
[a1,a2,a3,a4,a6] |
Generators |
[18:69:1] [39:-288:1] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
10.47270816472 |
L(r)(E,1)/r! |
Ω |
0.50769007216371 |
Real period |
R |
0.73671972745719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728c1 12432bj1 |
Quadratic twists by: -4 8 |