Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810eg |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2775929682617437500 = 22 · 36 · 56 · 7 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6571877,-6482447071] |
[a1,a2,a3,a4,a6] |
Generators |
[8064423:818953874:729] |
Generators of the group modulo torsion |
j |
43059045794576017150729/3807859646937500 |
j-invariant |
L |
12.8300416733 |
L(r)(E,1)/r! |
Ω |
0.09429301180159 |
Real period |
R |
11.338805710026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090e2 |
Quadratic twists by: -3 |