Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395g |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-860799135165255 = -1 · 38 · 5 · 11 · 134 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14602,1233812] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1152:1] |
Generators of the group modulo torsion |
j |
472346932222439/1180794424095 |
j-invariant |
L |
3.2746666352324 |
L(r)(E,1)/r! |
Ω |
0.34938481923767 |
Real period |
R |
2.3431660928341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465r3 |
Quadratic twists by: -3 |