Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300f |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29911500000000 = 28 · 32 · 59 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-382908,91326312] |
[a1,a2,a3,a4,a6] |
Generators |
[697:12750:1] |
Generators of the group modulo torsion |
j |
1552201772885584/7477875 |
j-invariant |
L |
4.6065158043882 |
L(r)(E,1)/r! |
Ω |
0.58497498072363 |
Real period |
R |
1.9686806952583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460k2 |
Quadratic twists by: 5 |