Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19536ba |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-17284202496 = -1 · 219 · 34 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ -4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,608,2804] |
[a1,a2,a3,a4,a6] |
Generators |
[26:192:1] |
Generators of the group modulo torsion |
j |
6058428767/4219776 |
j-invariant |
L |
4.5485667850635 |
L(r)(E,1)/r! |
Ω |
0.77884657418474 |
Real period |
R |
0.36500824872221 |
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 |
2442g1 78144cl1 58608bl1 |
Quadratic twists by: -4 8 -3 |