Atkin-Lehner |
11+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7579c |
Isogeny class |
Conductor |
7579 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-401687 = -1 · 11 · 13 · 532 |
Discriminant |
Eigenvalues |
-1 0 0 0 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[482:10332:1] |
Generators of the group modulo torsion |
j |
-350402625/401687 |
j-invariant |
L |
2.4501300759244 |
L(r)(E,1)/r! |
Ω |
1.1674625701678 |
Real period |
R |
4.1973595360273 |
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 |
121264p1 68211f1 83369d1 98527l1 |
Quadratic twists by: -4 -3 -11 13 |