Atkin-Lehner |
7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33761c |
Isogeny class |
Conductor |
33761 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
81060161 = 76 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 2 2 7- 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-687,-7204] |
[a1,a2,a3,a4,a6] |
Generators |
[66528990:474101513:970299] |
Generators of the group modulo torsion |
j |
304821217/689 |
j-invariant |
L |
6.3524069060588 |
L(r)(E,1)/r! |
Ω |
0.93264434579524 |
Real period |
R |
13.622356549307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
689a1 |
Quadratic twists by: -7 |