Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1760g |
Isogeny class |
Conductor |
1760 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-31179473600000 = -1 · 29 · 55 · 117 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11- -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3000,275000] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:550:1] |
Generators of the group modulo torsion |
j |
-5833944216008/60897409375 |
j-invariant |
L |
3.3431972030186 |
L(r)(E,1)/r! |
Ω |
0.56178535714725 |
Real period |
R |
0.085014604662621 |
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 |
1760d1 3520r1 15840t1 8800v1 |
Quadratic twists by: -4 8 -3 5 |