Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1722l |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-610094268 = -1 · 22 · 312 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-480,-4419] |
[a1,a2,a3,a4,a6] |
Generators |
[537:12179:1] |
Generators of the group modulo torsion |
j |
-12232183057921/610094268 |
j-invariant |
L |
3.0325270985531 |
L(r)(E,1)/r! |
Ω |
0.50850364365809 |
Real period |
R |
5.9636290444993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13776bd1 55104bf1 5166k1 43050y1 |
Quadratic twists by: -4 8 -3 5 |