Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280j |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
357909840 = 24 · 36 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198,-567] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] |
Generators of the group modulo torsion |
j |
73598976/30685 |
j-invariant |
L |
6.9998567628212 |
L(r)(E,1)/r! |
Ω |
1.3206513400639 |
Real period |
R |
1.3250766061747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920i1 |
Quadratic twists by: -3 |