Atkin-Lehner |
5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11495a |
Isogeny class |
Conductor |
11495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
395140625 = 56 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-463,-3594] |
[a1,a2,a3,a4,a6] |
Generators |
[36:141:1] |
Generators of the group modulo torsion |
j |
8230172859/296875 |
j-invariant |
L |
2.7587244716506 |
L(r)(E,1)/r! |
Ω |
1.0316675801513 |
Real period |
R |
2.6740439699056 |
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 |
103455v1 57475a1 11495b1 |
Quadratic twists by: -3 5 -11 |