Atkin-Lehner |
2+ 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670i |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
19040 |
Modular degree for the optimal curve |
Δ |
22363593750 = 2 · 35 · 57 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2063,35156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:187:1] |
Generators of the group modulo torsion |
j |
970328403297001/22363593750 |
j-invariant |
L |
4.8479185636452 |
L(r)(E,1)/r! |
Ω |
1.2036750843278 |
Real period |
R |
0.11507420961417 |
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 |
53010bp1 88350cb1 |
Quadratic twists by: -3 5 |