Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600a |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-425000000000 = -1 · 29 · 511 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 0 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1592,-20188] |
[a1,a2,a3,a4,a6] |
Generators |
[32:250:1] |
Generators of the group modulo torsion |
j |
55742968/53125 |
j-invariant |
L |
3.6898307828563 |
L(r)(E,1)/r! |
Ω |
0.51505379624173 |
Real period |
R |
1.790992906848 |
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 |
13600n1 27200d1 122400dp1 2720e1 |
Quadratic twists by: -4 8 -3 5 |