Atkin-Lehner |
2- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51272b |
Isogeny class |
Conductor |
51272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-320534496256 = -1 · 210 · 133 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -2 1 2 -3 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1040,24336] |
[a1,a2,a3,a4,a6] |
Generators |
[0:156:1] |
Generators of the group modulo torsion |
j |
121368536636/313021969 |
j-invariant |
L |
4.4699286984472 |
L(r)(E,1)/r! |
Ω |
0.67562740685807 |
Real period |
R |
1.1026611840346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102544b1 |
Quadratic twists by: -4 |