Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3496g |
Isogeny class |
Conductor |
3496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-2573056 = -1 · 28 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 0 1 -5 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,52] |
[a1,a2,a3,a4,a6] |
Generators |
[12:46:1] |
Generators of the group modulo torsion |
j |
9483264/10051 |
j-invariant |
L |
3.2737883012937 |
L(r)(E,1)/r! |
Ω |
1.6996169843331 |
Real period |
R |
0.48154795043107 |
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 |
6992e1 27968o1 31464b1 87400a1 |
Quadratic twists by: -4 8 -3 5 |