Atkin-Lehner |
2- 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670r |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
429734400000 = 212 · 3 · 55 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6460,-200035] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:73:1] |
Generators of the group modulo torsion |
j |
29814358402261441/429734400000 |
j-invariant |
L |
7.2093455662316 |
L(r)(E,1)/r! |
Ω |
0.53299131989034 |
Real period |
R |
0.45087323171385 |
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 |
53010p1 88350bj1 |
Quadratic twists by: -3 5 |