Atkin-Lehner |
2- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22192c |
Isogeny class |
Conductor |
22192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-5681152 = -1 · 212 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 0 2 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,112] |
[a1,a2,a3,a4,a6] |
Generators |
[18:101:8] |
Generators of the group modulo torsion |
j |
110592/1387 |
j-invariant |
L |
6.2273432907166 |
L(r)(E,1)/r! |
Ω |
1.7759615340015 |
Real period |
R |
3.5064629337356 |
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 |
1387a1 88768l1 |
Quadratic twists by: -4 8 |