Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672di |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-772768400408576 = -1 · 225 · 116 · 13 |
Discriminant |
Eigenvalues |
2- -3 1 1 11- 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20812,1767568] |
[a1,a2,a3,a4,a6] |
Generators |
[44:968:1] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
3.7325361255453 |
L(r)(E,1)/r! |
Ω |
0.46336590074555 |
Real period |
R |
2.0138167872005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672y1 25168bp1 832j1 |
Quadratic twists by: -4 8 -11 |