Atkin-Lehner |
2- 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13452a |
Isogeny class |
Conductor |
13452 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-26972013312 = -1 · 28 · 33 · 19 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -4 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,723,2313] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1475:1] |
Generators of the group modulo torsion |
j |
163041370112/105359427 |
j-invariant |
L |
4.9729301806984 |
L(r)(E,1)/r! |
Ω |
0.74068861836724 |
Real period |
R |
2.2379760569566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53808u1 40356a1 |
Quadratic twists by: -4 -3 |